diff --git a/tests/unit/vertexai/genai/replays/test_create_evaluation_run.py b/tests/unit/vertexai/genai/replays/test_create_evaluation_run.py
index d130bac190..b31c2b2d62 100644
--- a/tests/unit/vertexai/genai/replays/test_create_evaluation_run.py
+++ b/tests/unit/vertexai/genai/replays/test_create_evaluation_run.py
@@ -46,6 +46,23 @@
         )
     ),
 )
+EXACT_MATCH_COMPUTATION_BASED_METRIC = types.EvaluationRunMetric(
+    metric="exact_match",
+    metric_config=types.UnifiedMetric(
+        computation_based_metric_spec=types.ComputationBasedMetricSpec(
+            type=types.ComputationBasedMetricType.EXACT_MATCH,
+        )
+    ),
+)
+BLEU_COMPUTATION_BASED_METRIC = types.EvaluationRunMetric(
+    metric="exact_match_2",
+    metric_config=types.UnifiedMetric(
+        computation_based_metric_spec=types.ComputationBasedMetricSpec(
+            type=types.ComputationBasedMetricType.BLEU,
+            parameters={"use_effective_order": True},
+        )
+    ),
+)
 
 
 def test_create_eval_run_data_source_evaluation_set(client):
@@ -74,6 +91,8 @@ def test_create_eval_run_data_source_evaluation_set(client):
             UNIVERSAL_AR_METRIC,
             types.RubricMetric.FINAL_RESPONSE_QUALITY,
             LLM_METRIC,
+            EXACT_MATCH_COMPUTATION_BASED_METRIC,
+            BLEU_COMPUTATION_BASED_METRIC,
         ],
         agent_info=types.evals.AgentInfo(
             agent_resource_name="project/123/locations/us-central1/reasoningEngines/456",
@@ -94,7 +113,13 @@ def test_create_eval_run_data_source_evaluation_set(client):
         output_config=genai_types.OutputConfig(
             gcs_destination=genai_types.GcsDestination(output_uri_prefix=GCS_DEST)
         ),
-        metrics=[UNIVERSAL_AR_METRIC, FINAL_RESPONSE_QUALITY_METRIC, LLM_METRIC],
+        metrics=[
+            UNIVERSAL_AR_METRIC,
+            FINAL_RESPONSE_QUALITY_METRIC,
+            LLM_METRIC,
+            EXACT_MATCH_COMPUTATION_BASED_METRIC,
+            BLEU_COMPUTATION_BASED_METRIC,
+        ],
     )
     assert evaluation_run.inference_configs[
         "agent-1"
diff --git a/vertexai/_genai/evals.py b/vertexai/_genai/evals.py
index d968b4e7c3..48085900db 100644
--- a/vertexai/_genai/evals.py
+++ b/vertexai/_genai/evals.py
@@ -577,6 +577,13 @@ def _UnifiedMetric_from_vertex(
             getv(from_object, ["predefinedMetricSpec"]),
         )
 
+    if getv(from_object, ["computationBasedMetricSpec"]) is not None:
+        setv(
+            to_object,
+            ["computation_based_metric_spec"],
+            getv(from_object, ["computationBasedMetricSpec"]),
+        )
+
     return to_object
 
 
@@ -621,6 +628,13 @@ def _UnifiedMetric_to_vertex(
             getv(from_object, ["predefined_metric_spec"]),
         )
 
+    if getv(from_object, ["computation_based_metric_spec"]) is not None:
+        setv(
+            to_object,
+            ["computationBasedMetricSpec"],
+            getv(from_object, ["computation_based_metric_spec"]),
+        )
+
     return to_object
 
 
diff --git a/vertexai/_genai/types/__init__.py b/vertexai/_genai/types/__init__.py
index 939f04301a..8f08686b6a 100644
--- a/vertexai/_genai/types/__init__.py
+++ b/vertexai/_genai/types/__init__.py
@@ -174,6 +174,10 @@
 from .common import CometResult
 from .common import CometResultDict
 from .common import CometResultOrDict
+from .common import ComputationBasedMetricSpec
+from .common import ComputationBasedMetricSpecDict
+from .common import ComputationBasedMetricSpecOrDict
+from .common import ComputationBasedMetricType
 from .common import ContainerSpec
 from .common import ContainerSpecDict
 from .common import ContainerSpecOrDict
@@ -1067,6 +1071,9 @@
     "CustomCodeExecutionSpec",
     "CustomCodeExecutionSpecDict",
     "CustomCodeExecutionSpecOrDict",
+    "ComputationBasedMetricSpec",
+    "ComputationBasedMetricSpecDict",
+    "ComputationBasedMetricSpecOrDict",
     "UnifiedMetric",
     "UnifiedMetricDict",
     "UnifiedMetricOrDict",
@@ -1915,6 +1922,7 @@
     "EvaluationItemType",
     "SamplingMethod",
     "RubricContentType",
+    "ComputationBasedMetricType",
     "EvaluationRunState",
     "OptimizeTarget",
     "GenerateMemoriesResponseGeneratedMemoryAction",
diff --git a/vertexai/_genai/types/common.py b/vertexai/_genai/types/common.py
index 7c48303729..e375ee7fc6 100644
--- a/vertexai/_genai/types/common.py
+++ b/vertexai/_genai/types/common.py
@@ -311,6 +311,21 @@ class RubricContentType(_common.CaseInSensitiveEnum):
     """Generate rubrics in a unit test format."""
 
 
+class ComputationBasedMetricType(_common.CaseInSensitiveEnum):
+    """Represents the type of the computation based metric."""
+
+    COMPUTATION_BASED_METRIC_TYPE_UNSPECIFIED = (
+        "COMPUTATION_BASED_METRIC_TYPE_UNSPECIFIED"
+    )
+    """Computation based metric type is unspecified."""
+    EXACT_MATCH = "EXACT_MATCH"
+    """Exact match metric."""
+    BLEU = "BLEU"
+    """BLEU metric."""
+    ROUGE = "ROUGE"
+    """ROUGE metric."""
+
+
 class EvaluationRunState(_common.CaseInSensitiveEnum):
     """Represents the state of an evaluation run."""
 
@@ -943,6 +958,33 @@ def evaluate(instance: dict[str, Any]) -> float:
 ]
 
 
+class ComputationBasedMetricSpec(_common.BaseModel):
+    """Specification for a computation based metric."""
+
+    type: Optional[ComputationBasedMetricType] = Field(
+        default=None, description="""The type of the computation based metric."""
+    )
+    parameters: Optional[dict[str, Any]] = Field(
+        default=None,
+        description="""A map of parameters for the metric, e.g. {"rouge_type": "rougeL"}.""",
+    )
+
+
+class ComputationBasedMetricSpecDict(TypedDict, total=False):
+    """Specification for a computation based metric."""
+
+    type: Optional[ComputationBasedMetricType]
+    """The type of the computation based metric."""
+
+    parameters: Optional[dict[str, Any]]
+    """A map of parameters for the metric, e.g. {"rouge_type": "rougeL"}."""
+
+
+ComputationBasedMetricSpecOrDict = Union[
+    ComputationBasedMetricSpec, ComputationBasedMetricSpecDict
+]
+
+
 class UnifiedMetric(_common.BaseModel):
     """The unified metric used for evaluation."""
 
@@ -964,6 +1006,9 @@ class UnifiedMetric(_common.BaseModel):
     predefined_metric_spec: Optional[PredefinedMetricSpec] = Field(
         default=None, description="""The spec for a pre-defined metric."""
     )
+    computation_based_metric_spec: Optional[ComputationBasedMetricSpec] = Field(
+        default=None, description="""The spec for a computation based metric."""
+    )
 
 
 class UnifiedMetricDict(TypedDict, total=False):
@@ -987,6 +1032,9 @@ class UnifiedMetricDict(TypedDict, total=False):
     predefined_metric_spec: Optional[PredefinedMetricSpecDict]
     """The spec for a pre-defined metric."""
 
+    computation_based_metric_spec: Optional[ComputationBasedMetricSpecDict]
+    """The spec for a computation based metric."""
+
 
 UnifiedMetricOrDict = Union[UnifiedMetric, UnifiedMetricDict]