diff --git a/CHANGELOG.md b/CHANGELOG.md
index 0e18b07..2548c32 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -10,6 +10,8 @@ All notable changes to the Docker Language Server will be documented in this fil
   - textDocument/documentLink
     - add anchor resolution for all supported document links ([#348](https://github.com/docker/docker-language-server/issues/348))
     - return document links for the `file` attribute of a service object's `extends` attribute object ([#172](https://github.com/docker/docker-language-server/issues/172))
+  - textDocument/hover
+    - support hovering over referenced models ([#343](https://github.com/docker/docker-language-server/issues/343))
 
 ### Fixed
 
diff --git a/internal/compose/hover.go b/internal/compose/hover.go
index 3c6996a..2b1d857 100644
--- a/internal/compose/hover.go
+++ b/internal/compose/hover.go
@@ -50,6 +50,10 @@ func Hover(ctx context.Context, params *protocol.HoverParams, doc document.Compo
 			if result != nil {
 				return result, nil
 			}
+			result = modelHover(doc, mappingNode, nodePath)
+			if result != nil {
+				return result, nil
+			}
 			result = hover(composeSchema, nodePath, line, character, len(lines[params.Position.Line])+1)
 			if result != nil {
 				return result, nil
@@ -149,26 +153,6 @@ func networkHover(doc document.ComposeDocument, mappingNode *ast.MappingNode, no
 	return nil
 }
 
-func createDependencyHover(doc document.ComposeDocument, mappingNode *ast.MappingNode, hovered *token.Token, dependencyType, dependencyName string) *protocol.Hover {
-	for _, node := range mappingNode.Values {
-		if s, ok := node.Key.(*ast.StringNode); ok && s.Value == dependencyType {
-			if mappingNode, ok := node.Value.(*ast.MappingNode); ok {
-				for _, service := range mappingNode.Values {
-					if service.Key.GetToken().Value == dependencyName {
-						return createYamlHover(service, hovered)
-					}
-				}
-			}
-		}
-	}
-
-	node, _ := dependencyLookup(doc, dependencyType, dependencyName)
-	if node != nil {
-		return createYamlHover(node, hovered)
-	}
-	return nil
-}
-
 func configHover(doc document.ComposeDocument, mappingNode *ast.MappingNode, nodePath []ast.Node) *protocol.Hover {
 	if len(nodePath) == 4 && nodePath[0].GetToken().Value == "services" {
 		// array string
@@ -249,6 +233,36 @@ func volumeHover(doc document.ComposeDocument, params *protocol.HoverParams, map
 	return nil
 }
 
+func modelHover(doc document.ComposeDocument, mappingNode *ast.MappingNode, nodePath []ast.Node) *protocol.Hover {
+	if len(nodePath) == 4 && nodePath[0].GetToken().Value == "services" {
+		if nodePath[2].GetToken().Value == "models" {
+			t := nodePath[3].GetToken()
+			return createDependencyHover(doc, mappingNode, t, "models", t.Value)
+		}
+	}
+	return nil
+}
+
+func createDependencyHover(doc document.ComposeDocument, mappingNode *ast.MappingNode, hovered *token.Token, dependencyType, dependencyName string) *protocol.Hover {
+	for _, node := range mappingNode.Values {
+		if s, ok := node.Key.(*ast.StringNode); ok && s.Value == dependencyType {
+			if mappingNode, ok := node.Value.(*ast.MappingNode); ok {
+				for _, service := range mappingNode.Values {
+					if service.Key.GetToken().Value == dependencyName {
+						return createYamlHover(service, hovered)
+					}
+				}
+			}
+		}
+	}
+
+	node, _ := dependencyLookup(doc, dependencyType, dependencyName)
+	if node != nil {
+		return createYamlHover(node, hovered)
+	}
+	return nil
+}
+
 func hover(schema *jsonschema.Schema, nodes []ast.Node, line, column, lineLength int) *protocol.Hover {
 	for _, match := range nodes {
 		if schema.Ref != nil {
diff --git a/internal/compose/hover_test.go b/internal/compose/hover_test.go
index aa0f426..9a8ff43 100644
--- a/internal/compose/hover_test.go
+++ b/internal/compose/hover_test.go
@@ -1139,6 +1139,89 @@ services:
 			character: 10,
 			result:    nil,
 		},
+		{
+			name: "models hover with a single item",
+			content: `
+services:
+  app:
+    models:
+      - ai_model
+
+models:
+  ai_model:
+    model: ai/model`,
+			line:      4,
+			character: 12,
+			result: &protocol.Hover{
+				Contents: protocol.MarkupContent{
+					Kind: protocol.MarkupKindMarkdown,
+					Value: "```YAML\n" + `ai_model:
+  model: ai/model` +
+						"\n```",
+				},
+				Range: &protocol.Range{
+					Start: protocol.Position{Line: 4, Character: 8},
+					End:   protocol.Position{Line: 4, Character: 16},
+				},
+			},
+		},
+		{
+			name: "models hover with multiple items",
+			content: `
+services:
+  app:
+    models:
+      - model1
+      - model2
+
+models:
+  model1:
+    model: ai/model
+  model2:
+    model: ai/all-minilm`,
+			line:      5,
+			character: 12,
+			result: &protocol.Hover{
+				Contents: protocol.MarkupContent{
+					Kind: protocol.MarkupKindMarkdown,
+					Value: "```YAML\n" + `model2:
+  model: ai/all-minilm` +
+						"\n```",
+				},
+				Range: &protocol.Range{
+					Start: protocol.Position{Line: 5, Character: 8},
+					End:   protocol.Position{Line: 5, Character: 14},
+				},
+			},
+		},
+		{
+			name: "models hover on an object reference",
+			content: `
+services:
+  test:
+    models:
+      my_model:
+        endpoint_var: MODEL_URL
+        model_var: MODEL
+
+models:
+  my_model:
+    model: ai/model`,
+			line:      4,
+			character: 12,
+			result: &protocol.Hover{
+				Contents: protocol.MarkupContent{
+					Kind: protocol.MarkupKindMarkdown,
+					Value: "```YAML\n" + `my_model:
+  model: ai/model` +
+						"\n```",
+				},
+				Range: &protocol.Range{
+					Start: protocol.Position{Line: 4, Character: 6},
+					End:   protocol.Position{Line: 4, Character: 14},
+				},
+			},
+		},
 	}
 
 	composeFile := fmt.Sprintf("file:///%v", strings.TrimPrefix(filepath.ToSlash(filepath.Join(os.TempDir(), "compose.yaml")), "/"))