diff --git a/CHANGELOG.md b/CHANGELOG.md
index 2f24a2b46..045729721 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -32,6 +32,7 @@ Inspired from [Keep a Changelog](https://keepachangelog.com/en/1.0.0/)
 - Removed invalid `required` from `ppl` responses ([#646](https://github.com/opensearch-project/opensearch-api-specification/pull/646))
 - Added schema for security API error responses ([#646](https://github.com/opensearch-project/opensearch-api-specification/pull/646))
 - Fixed `/{index}/_create/{id}` returning `201` ([#669](https://github.com/opensearch-project/opensearch-api-specification/pull/669))
+- Fixed `ml._common.yaml#SearchModelsResponse` and `SearchModelsHitsHit` ([#672](https://github.com/opensearch-project/opensearch-api-specification/pull/672))
 
 ## [0.1.0] - 2024-10-25
 
diff --git a/spec/schemas/ml._common.yaml b/spec/schemas/ml._common.yaml
index 46cffc9f3..36f6c4954 100644
--- a/spec/schemas/ml._common.yaml
+++ b/spec/schemas/ml._common.yaml
@@ -22,6 +22,14 @@ components:
     SearchModelsResponse:
       type: object
       properties:
+        took:
+          type: integer
+          description: The time taken to execute the search.
+        timed_out:
+          type: boolean
+          description: Whether the search timed out.
+        _shards:
+          $ref: '_common.yaml#/components/schemas/ShardStatistics'
         hits:
           $ref: '#/components/schemas/SearchModelsHits'
       required:
@@ -35,6 +43,10 @@ components:
           type: array
           items:
             $ref: '#/components/schemas/SearchModelsHitsHit'
+        max_score:
+          type: number
+          format: float
+          description: The maximum score.
       required:
         - hits
         - total
@@ -43,6 +55,7 @@ components:
       properties:
         value:
           type: integer
+          format: int64
           description: The total number of hits.
         relation:
           type: string
@@ -53,18 +66,140 @@ components:
     SearchModelsHitsHit:
       type: object
       properties:
+        _version:
+          $ref: '_common.yaml#/components/schemas/VersionNumber'
+        _seq_no:
+          $ref: '_common.yaml#/components/schemas/SequenceNumber'
+        _primary_term:
+          type: integer
+          description: The primary term.
         _index:
-          type: string
-          description: The index.
+          $ref: '_common.yaml#/components/schemas/IndexName'
         _id:
+          $ref: '_common.yaml#/components/schemas/Id'
+        _score:
+          type: number
+          format: float
+          description: The score.
+        _source:
+          $ref: '#/components/schemas/Source'
+        model_id:
+          $ref: '_common.yaml#/components/schemas/Name'
+      required:
+        - _score
+    Source:
+      type: object
+      properties:
+        last_deployed_time:
+          type: integer
+          format: int64
+          description: The last deployed time.
+        model_version:
           type: string
-          description: The hit ID.
+          description: The model version.
+        version:
+          $ref: '_common.yaml#/components/schemas/VersionString'
+        created_time:
+          type: integer
+          format: int64
+          description: The created time.
+        chunk_number:
+          type: integer
+          format: int64
+          description: The chunk number.
+        deploy_to_all_nodes:
+          type: boolean
+          description: Whether to deploy to all nodes.
+        is_hidden:
+          type: boolean
+          description: Whether the model is hidden.
         model_id:
+          $ref: '_common.yaml#/components/schemas/Name'
+        description:
           type: string
-          description: The model ID.
-      required:
-        - _id
-        - model_id
+          description: The model description.
+        model_state:
+          type: string
+          description: The model state.
+          enum:
+            - DEPLOYED
+            - DEPLOYING
+            - DEPLOY_FAILED
+            - PARTIALLY_DEPLOYED
+            - REGISTERED
+            - REGISTERING
+        model_content_size_in_bytes:
+          type: integer
+          format: int64
+          description: The model content size in bytes.
+        model_content_hash_value:
+          type: string
+          description: The model content hash value.
+        planning_worker_node_count:
+          type: number
+          description: The planning worker node count.
+        model_config:
+          $ref: '#/components/schemas/ModelConfig'
+        model_format:
+          type: string
+          description: The model format.
+        model_task_type:
+          type: string
+          description: The model task type.
+        last_updated_time:
+          type: integer
+          format: int64
+          description: The last updated time.
+        last_registered_time:
+          type: integer
+          format: int64
+          description: The last registered time.
+        auto_redeploy_retry_times:
+          type: integer
+          format: int64
+          description: The auto redeploy retry times.
+        name:
+          type: string
+          description: The model name.
+        connector_id:
+          type: string
+          description: The connector ID.
+        current_worker_node_count:
+          type: number
+          description: The current worker node count.
+        model_group_id:
+          type: string
+          description: The model group ID.
+        planning_worker_nodes:
+          type: array
+          items:
+            $ref: '_common.yaml#/components/schemas/NodeIds'
+        total_chunks:
+          type: integer
+          format: int64
+          description: The total chunks.
+        algorithm:
+          type: string
+          description: The algorithm.
+        url:
+          type: string
+          description: The model URL.
+    ModelConfig:
+      type: object
+      properties:
+        all_config:
+          type: string
+          description: The all config.
+        model_type:
+          type: string
+          description: The model type.
+        embedding_dimension:
+          type: integer
+          format: int64
+          description: The embedding dimension.
+        framework_type:
+          type: string
+          description: The framework type.
     ModelGroupRegistration:
       type: object
       properties:
diff --git a/tests/plugins/ml/ml/models.yaml b/tests/plugins/ml/ml/models.yaml
index ce087654f..92cac3ca3 100644
--- a/tests/plugins/ml/ml/models.yaml
+++ b/tests/plugins/ml/ml/models.yaml
@@ -37,6 +37,20 @@ chapters:
     retry:
       count: 5
       wait: 30000
+  - synopsis: Search model.
+    path: /_plugins/_ml/models/_search
+    method: GET
+    request:
+      payload:
+        query:
+          match_all: {}
+        size: 1000
+    response:
+      status: 200
+      payload:
+        hits:
+          hits:
+            - _score: 1
   - synopsis: Delete model.
     path: /_plugins/_ml/models/{model_id}
     parameters:
diff --git a/tests/plugins/ml/ml/tasks.yaml b/tests/plugins/ml/ml/tasks.yaml
new file mode 100644
index 000000000..542ea3468
--- /dev/null
+++ b/tests/plugins/ml/ml/tasks.yaml
@@ -0,0 +1,28 @@
+$schema: ../../../../json_schemas/test_story.schema.yaml
+
+description: Test the creation of tasks.
+version: '>= 2.11'
+warnings:
+  multiple-paths-detected: false
+chapters:
+  - synopsis: Register model.
+    id: register_model
+    path: /_plugins/_ml/models/_register
+    method: POST
+    request:
+      payload:
+        name: huggingface/sentence-transformers/msmarco-distilbert-base-tas-b
+        version: 1.0.1
+        model_format: TORCH_SCRIPT
+    response:
+      status: 200
+    output:
+      task_id: payload.task_id
+  - synopsis: Delete task.
+    id: delete_task
+    path: /_plugins/_ml/tasks/{task_id}
+    method: DELETE
+    parameters:
+      task_id: ${register_model.task_id}
+    response:
+      status: 200
\ No newline at end of file