diff --git a/models/user/user.go b/models/user/user.go
index 8a39eca634..9d9551e28d 100644
--- a/models/user/user.go
+++ b/models/user/user.go
@@ -307,6 +307,13 @@ func (u *User) DashboardLink() string {
 	return setting.AppSubURL + "/"
 }
 
+func (u *User) SettingsLink() string {
+	if u.IsOrganization() {
+		return u.OrganisationLink() + "/settings"
+	}
+	return setting.AppSubURL + "/user/settings"
+}
+
 // HomeLink returns the user or organization home page link.
 func (u *User) HomeLink() string {
 	return setting.AppSubURL + "/" + url.PathEscape(u.Name)
diff --git a/options/locale/locale_en-US.json b/options/locale/locale_en-US.json
index c7ec133e57..a0c2e086ef 100644
--- a/options/locale/locale_en-US.json
+++ b/options/locale/locale_en-US.json
@@ -3622,7 +3622,13 @@
   "packages.terraform.delete.latest": "The latest version of a Terraform state cannot be deleted.",
   "packages.vagrant.install": "To add a Vagrant box, run the following command:",
   "packages.settings.link": "Link this package to a repository",
-  "packages.settings.link.description": "If you link a package with a repository, the package will appear in the repository's package list. Only repositories under the same owner can be linked. Leaving the field empty will remove the link.",
+  "packages.settings.link.description": "If you link a package with a repository, the package will appear in the repository's package list.",
+  "packages.settings.link.notice1": "Only repositories under the same owner can be linked.",
+  "packages.settings.link.notice2": "Linking a repository does not change the package visibility.",
+  "packages.settings.link.notice3": "Leaving the field empty will remove the link.",
+  "packages.settings.visibility": "Package visibility",
+  "packages.settings.visibility.inherit": "Package visibility is inherited from the owner and cannot be changed independently here. To change it, update the visibility settings of the user or organization that owns this package.",
+  "packages.settings.visibility.button": "Change owner visibility",
   "packages.settings.link.select": "Select Repository",
   "packages.settings.link.button": "Update Repository Link",
   "packages.settings.link.success": "Repository link was successfully updated.",
diff --git a/routers/api/packages/composer/api.go b/routers/api/packages/composer/api.go
index a3ea2c2f9a..0d95ab3ed9 100644
--- a/routers/api/packages/composer/api.go
+++ b/routers/api/packages/composer/api.go
@@ -9,7 +9,10 @@ import (
 	"time"
 
 	packages_model "code.gitea.io/gitea/models/packages"
+	access_model "code.gitea.io/gitea/models/perm/access"
+	"code.gitea.io/gitea/modules/log"
 	composer_module "code.gitea.io/gitea/modules/packages/composer"
+	"code.gitea.io/gitea/services/context"
 )
 
 // ServiceIndexResponse contains registry endpoints
@@ -91,7 +94,7 @@ type Source struct {
 	Reference string `json:"reference"`
 }
 
-func createPackageMetadataResponse(registryURL string, pds []*packages_model.PackageDescriptor) *PackageMetadataResponse {
+func createPackageMetadataResponse(ctx *context.Context, registryURL string, pds []*packages_model.PackageDescriptor) *PackageMetadataResponse {
 	versions := make([]*PackageVersionMetadata, 0, len(pds))
 
 	for _, pd := range pds {
@@ -116,10 +119,15 @@ func createPackageMetadataResponse(registryURL string, pds []*packages_model.Pac
 			},
 		}
 		if pd.Repository != nil {
-			pkg.Source = Source{
-				URL:       pd.Repository.HTMLURL(),
-				Type:      "git",
-				Reference: pd.Version.Version,
+			permission, err := access_model.GetDoerRepoPermission(ctx, pd.Repository, ctx.Doer)
+			if err != nil {
+				log.Error("GetDoerRepoPermission[%d]: %v", pd.Repository.ID, err)
+			} else if permission.HasAnyUnitAccessOrPublicAccess() {
+				pkg.Source = Source{
+					URL:       pd.Repository.HTMLURL(),
+					Type:      "git",
+					Reference: pd.Version.Version,
+				}
 			}
 		}
 
diff --git a/routers/api/packages/composer/composer.go b/routers/api/packages/composer/composer.go
index 8eb66ca244..b18cdc242c 100644
--- a/routers/api/packages/composer/composer.go
+++ b/routers/api/packages/composer/composer.go
@@ -146,6 +146,7 @@ func PackageMetadata(ctx *context.Context) {
 	}
 
 	resp := createPackageMetadataResponse(
+		ctx,
 		setting.AppURL+"api/packages/"+ctx.Package.Owner.Name+"/composer",
 		pds,
 	)
diff --git a/templates/package/settings.tmpl b/templates/package/settings.tmpl
index d4241e6541..0192376652 100644
--- a/templates/package/settings.tmpl
+++ b/templates/package/settings.tmpl
@@ -10,12 +10,28 @@
 			{{template "user/overview/header" .}}
 		{{end}}
 		{{template "base/alert" .}}
-		<p><a href="{{.PackageDescriptor.PackageWebLink}}">{{.PackageDescriptor.Package.Name}}</a> / <strong>{{ctx.Locale.Tr "repo.settings"}}</strong></p>
+		<p>
+			<a href="{{.PackageDescriptor.PackageWebLink}}">{{.PackageDescriptor.Package.Name}}</a>
+			<span class="label-list">
+				{{template "package/shared/visibility_badge" dict "Package" .PackageDescriptor.Package "Owner" .PackageDescriptor.Owner}}
+			</span>
+			/ <strong>{{ctx.Locale.Tr "repo.settings"}}</strong>
+		</p>
+		<h4 class="ui top attached header">
+			{{ctx.Locale.Tr "packages.settings.visibility"}}
+		</h4>
+		<div class="ui attached segment">
+			<p>{{ctx.Locale.Tr "packages.settings.visibility.inherit"}}</p>
+			<a class="ui basic button" href="{{.ContextUser.SettingsLink}}">{{ctx.Locale.Tr "packages.settings.visibility.button"}}</a>
+		</div>
 		<h4 class="ui top attached header">
 			{{ctx.Locale.Tr "packages.settings.link"}}
 		</h4>
 		<div class="ui attached segment">
 			<p>{{ctx.Locale.Tr "packages.settings.link.description"}}</p>
+			<p>- {{ctx.Locale.Tr "packages.settings.link.notice1"}}</p>
+			<p>- {{ctx.Locale.Tr "packages.settings.link.notice2"}}</p>
+			<p>- {{ctx.Locale.Tr "packages.settings.link.notice3"}}</p>
 			<form class="ui form form-fetch-action ignore-dirty flex-text-block" action="{{.Link}}" method="post">
 				<input type="hidden" name="action" value="link">
 				<div data-global-init="initSearchRepoBox" class="ui search" data-uid="{{.PackageDescriptor.Owner.ID}}">
diff --git a/templates/package/shared/cleanup_rules/preview.tmpl b/templates/package/shared/cleanup_rules/preview.tmpl
index 0991a07fbc..15ad94debd 100644
--- a/templates/package/shared/cleanup_rules/preview.tmpl
+++ b/templates/package/shared/cleanup_rules/preview.tmpl
@@ -18,7 +18,12 @@
 			{{range .VersionsToRemove}}
 				<tr>
 					<td>{{.Package.Type.Name}}</td>
-					<td>{{.Package.Name}}</td>
+					<td>
+						{{.Package.Name}}
+						<span class="label-list">
+							{{template "package/shared/visibility_badge" dict "Package" .Package "Owner" .Owner}}
+						</span>
+					</td>
 					<td><a href="{{.VersionWebLink}}">{{.Version.Version}}</a></td>
 					<td><a href="{{.Creator.HomeLink}}">{{.Creator.Name}}</a></td>
 					<td>{{FileSize .CalculateBlobSize}}</td>
diff --git a/templates/package/shared/list.tmpl b/templates/package/shared/list.tmpl
index 54e2a2c20e..69bd7acbe8 100644
--- a/templates/package/shared/list.tmpl
+++ b/templates/package/shared/list.tmpl
@@ -21,7 +21,10 @@
 			<div class="item-main">
 				<div class="item-title">
 					<a href="{{.VersionWebLink}}">{{.Package.Name}}</a>
-					<span class="ui label">{{svg .Package.Type.SVGName 16}} {{.Package.Type.Name}}</span>
+					<span class="label-list">
+						{{template "package/shared/visibility_badge" dict "Package" .Package "Owner" .Owner}}
+						<span class="ui label">{{svg .Package.Type.SVGName 16}} {{.Package.Type.Name}}</span>
+					</span>
 				</div>
 				<div class="item-body">
 					{{$timeStr := DateUtils.TimeSince .Version.CreatedUnix}}
diff --git a/templates/package/shared/versionlist.tmpl b/templates/package/shared/versionlist.tmpl
index 3ef9e790f1..a381f324fa 100644
--- a/templates/package/shared/versionlist.tmpl
+++ b/templates/package/shared/versionlist.tmpl
@@ -1,4 +1,10 @@
-<p><a href="{{.PackageDescriptor.PackageWebLink}}">{{.PackageDescriptor.Package.Name}}</a> / <strong>{{ctx.Locale.Tr "packages.versions"}}</strong></p>
+<p>
+	<a href="{{.PackageDescriptor.PackageWebLink}}">{{.PackageDescriptor.Package.Name}}</a>
+	<span class="label-list">
+		{{template "package/shared/visibility_badge" dict "Package" .PackageDescriptor.Package "Owner" .PackageDescriptor.Owner}}
+	</span>
+	/ <strong>{{ctx.Locale.Tr "packages.versions"}}</strong>
+</p>
 <form class="ui form ignore-dirty">
 	<div class="ui small fluid action input">
 		{{template "shared/search/input" dict "Value" .Query "Placeholder" (ctx.Locale.Tr "search.package_kind")}}
diff --git a/templates/package/shared/view.tmpl b/templates/package/shared/view.tmpl
index 9e32d5fdc2..5bd093178b 100644
--- a/templates/package/shared/view.tmpl
+++ b/templates/package/shared/view.tmpl
@@ -1,6 +1,11 @@
 <div class="issue-title-header">
 	{{$packageVersionLink := print $.PackageDescriptor.PackageWebLink "/" (PathEscape .PackageDescriptor.Version.LowerVersion)}}
-	<h1>{{.PackageDescriptor.Package.Name}} ({{.PackageDescriptor.Version.Version}})</h1>
+	<div class="tw-flex tw-flex-wrap tw-items-center tw-gap-2">
+		<h1 class="tw-mb-0">{{.PackageDescriptor.Package.Name}} ({{.PackageDescriptor.Version.Version}})</h1>
+		<span class="label-list">
+			{{template "package/shared/visibility_badge" dict "Package" .PackageDescriptor.Package "Owner" .PackageDescriptor.Owner}}
+		</span>
+	</div>
 	<div>
 		{{$timeStr := DateUtils.TimeSince .PackageDescriptor.Version.CreatedUnix}}
 		{{if .HasRepositoryAccess}}
diff --git a/templates/package/shared/visibility_badge.tmpl b/templates/package/shared/visibility_badge.tmpl
new file mode 100644
index 0000000000..0677391afc
--- /dev/null
+++ b/templates/package/shared/visibility_badge.tmpl
@@ -0,0 +1,7 @@
+{{if .Package.IsInternal}}
+	<span class="ui basic label">{{ctx.Locale.Tr "repo.desc.internal"}}</span>
+{{else if .Owner.Visibility.IsPrivate}}
+	<span class="ui basic label">{{ctx.Locale.Tr "repo.desc.private"}}</span>
+{{else if .Owner.Visibility.IsLimited}}
+	<span class="ui basic label">{{ctx.Locale.Tr "repo.desc.internal"}}</span>
+{{end}}
diff --git a/tests/integration/api_packages_composer_test.go b/tests/integration/api_packages_composer_test.go
index a56f2dd39b..f8af50b070 100644
--- a/tests/integration/api_packages_composer_test.go
+++ b/tests/integration/api_packages_composer_test.go
@@ -27,6 +27,8 @@ func TestPackageComposer(t *testing.T) {
 	defer tests.PrepareTestEnv(t)()
 
 	user := unittest.AssertExistsAndLoadBean(t, &user_model.User{ID: 2})
+	otherUser := unittest.AssertExistsAndLoadBean(t, &user_model.User{ID: 5})
+	privateUser := unittest.AssertExistsAndLoadBean(t, &user_model.User{ID: 31})
 
 	vendorName := "gitea"
 	projectName := "composer-package"
@@ -243,5 +245,83 @@ func TestPackageComposer(t *testing.T) {
 		assert.Equal(t, repo1.HTMLURL(), pkgs[0].Source.URL)
 		assert.Equal(t, "git", pkgs[0].Source.Type)
 		assert.Equal(t, packageVersion, pkgs[0].Source.Reference)
+
+		// Private repository links remain visible to callers who can access the repository.
+		repo2 := unittest.AssertExistsAndLoadBean(t, &repo_model.Repository{ID: 2})
+		err = packages.SetRepositoryLink(t.Context(), userPkgs[0].ID, repo2.ID)
+		assert.NoError(t, err)
+
+		req = NewRequest(t, "GET", fmt.Sprintf("%s/p2/%s/%s.json", url, vendorName, projectName)).
+			AddBasicAuth(user.Name)
+		resp = MakeRequest(t, req, http.StatusOK)
+
+		result = DecodeJSON(t, resp, &composer.PackageMetadataResponse{})
+		pkgs = result.Packages[packageName]
+		assert.Len(t, pkgs, 1)
+		assert.Equal(t, repo2.HTMLURL(), pkgs[0].Source.URL)
+		assert.Equal(t, "git", pkgs[0].Source.Type)
+		assert.Equal(t, packageVersion, pkgs[0].Source.Reference)
+
+		// Callers without repository access still get the package metadata, but not the private source URL.
+		req = NewRequest(t, "GET", fmt.Sprintf("%s/p2/%s/%s.json", url, vendorName, projectName)).
+			AddBasicAuth(otherUser.Name)
+		resp = MakeRequest(t, req, http.StatusOK)
+
+		result = DecodeJSON(t, resp, &composer.PackageMetadataResponse{})
+		pkgs = result.Packages[packageName]
+		assert.Len(t, pkgs, 1)
+		assert.Empty(t, pkgs[0].Source.URL)
+		assert.Empty(t, pkgs[0].Source.Type)
+		assert.Empty(t, pkgs[0].Source.Reference)
+	})
+
+	t.Run("WebVisibilityBadge", func(t *testing.T) {
+		defer tests.PrintCurrentTest(t)()
+
+		listReq := NewRequest(t, "GET", fmt.Sprintf("/%s/-/packages", user.Name)).
+			AddBasicAuth(user.Name)
+		listResp := MakeRequest(t, listReq, http.StatusOK)
+		listDoc := NewHTMLParser(t, bytes.NewReader(listResp.Body.Bytes()))
+		assert.Equal(t, 0, listDoc.Find(".item-title .ui.basic.label").Length())
+
+		viewReq := NewRequest(t, "GET", fmt.Sprintf("/%s/-/packages/composer/%s/%s", user.Name, neturl.PathEscape(packageName), neturl.PathEscape(packageVersion))).
+			AddBasicAuth(user.Name)
+		viewResp := MakeRequest(t, viewReq, http.StatusOK)
+		viewDoc := NewHTMLParser(t, bytes.NewReader(viewResp.Body.Bytes()))
+		assert.Equal(t, 0, viewDoc.Find(".issue-title-header .ui.basic.label").Length())
+
+		privatePackageName := privateUser.Name + "/private-composer-package"
+		privatePackageVersion := "1.0.0"
+		privateContent := test.WriteZipArchive(map[string]string{
+			"composer.json": `{
+				"name": "` + privatePackageName + `",
+				"description": "Private Package",
+				"type": "` + packageType + `",
+				"license": "` + packageLicense + `",
+				"authors": [
+					{
+						"name": "` + packageAuthor + `"
+					}
+				]
+			}`,
+		}).Bytes()
+		privateUploadURL := fmt.Sprintf("%sapi/packages/%s/composer?version=%s", setting.AppURL, privateUser.Name, privatePackageVersion)
+
+		uploadReq := NewRequestWithBody(t, "PUT", privateUploadURL, bytes.NewReader(privateContent)).
+			AddBasicAuth(privateUser.Name)
+		MakeRequest(t, uploadReq, http.StatusCreated)
+		privateSession := loginUser(t, privateUser.Name)
+
+		privateListReq := NewRequest(t, "GET", fmt.Sprintf("/%s/-/packages", privateUser.Name))
+		privateListResp := privateSession.MakeRequest(t, privateListReq, http.StatusOK)
+		privateListDoc := NewHTMLParser(t, bytes.NewReader(privateListResp.Body.Bytes()))
+		assert.Equal(t, 1, privateListDoc.Find(".item-title .ui.basic.label").Length())
+		assert.Equal(t, "Private", privateListDoc.Find(".item-title .ui.basic.label").First().Text())
+
+		privateViewReq := NewRequest(t, "GET", fmt.Sprintf("/%s/-/packages/composer/%s/%s", privateUser.Name, neturl.PathEscape(privatePackageName), neturl.PathEscape(privatePackageVersion)))
+		privateViewResp := privateSession.MakeRequest(t, privateViewReq, http.StatusOK)
+		privateViewDoc := NewHTMLParser(t, bytes.NewReader(privateViewResp.Body.Bytes()))
+		assert.Equal(t, 1, privateViewDoc.Find(".issue-title-header .ui.basic.label").Length())
+		assert.Equal(t, "Private", privateViewDoc.Find(".issue-title-header .ui.basic.label").First().Text())
 	})
 }