diff --git a/pdm.lock b/pdm.lock
index 5f5f900bb4c..911458afc43 100644
--- a/pdm.lock
+++ b/pdm.lock
@@ -2,10 +2,10 @@
 # It is not intended for manual editing.
 
 [metadata]
-groups = ["default", "all", "testing", "io", "grpc-channelz", "tracing-otlp", "monitor-otlp", "io-image", "aws", "docs", "tracing-zipkin", "grpc-reflection", "grpc", "tracing", "tooling", "tracing-jaeger", "io-pandas", "triton"]
+groups = ["default", "all", "testing", "io", "grpc-channelz", "tracing-otlp", "monitor-otlp", "io-image", "aws", "docs", "tracing-zipkin", "grpc-reflection", "grpc", "tracing", "tooling", "tracing-jaeger", "io-pandas", "triton", "opentelemetry-exporter-otlp-proto-grpc==1.20.0"]
 strategy = ["cross_platform", "inherit_metadata"]
 lock_version = "4.4.1"
-content_hash = "sha256:094ecc034f5068cd96766a5f5c6397d7de93b148a520a8278ab6edea661ab2a2"
+content_hash = "sha256:b24e49033b37d472b6ccee324e811bb67172d2a9f756a12f81e6963e9bfe1646"
 
 [[package]]
 name = "aiohttp"
@@ -1391,7 +1391,7 @@ name = "grpcio"
 version = "1.59.0"
 requires_python = ">=3.7"
 summary = "HTTP/2-based RPC framework"
-groups = ["all", "docs", "grpc", "grpc-channelz", "grpc-reflection", "tracing", "tracing-jaeger", "tracing-otlp", "triton"]
+groups = ["all", "docs", "grpc", "grpc-channelz", "grpc-reflection", "monitor-otlp", "tracing", "tracing-jaeger", "tracing-otlp", "triton"]
 files = [
     {file = "grpcio-1.59.0-cp310-cp310-linux_armv7l.whl", hash = "sha256:225e5fa61c35eeaebb4e7491cd2d768cd8eb6ed00f2664fa83a58f29418b39fd"},
     {file = "grpcio-1.59.0-cp310-cp310-macosx_12_0_universal2.whl", hash = "sha256:b95ec8ecc4f703f5caaa8d96e93e40c7f589bad299a2617bdb8becbcce525539"},
@@ -2298,7 +2298,7 @@ name = "opentelemetry-exporter-otlp-proto-grpc"
 version = "1.20.0"
 requires_python = ">=3.7"
 summary = "OpenTelemetry Collector Protobuf over gRPC Exporter"
-groups = ["all", "tracing", "tracing-otlp"]
+groups = ["all", "monitor-otlp", "tracing", "tracing-otlp"]
 dependencies = [
     "backoff<3.0.0,>=1.10.0; python_version >= \"3.7\"",
     "deprecated>=1.2.6",
diff --git a/pyproject.toml b/pyproject.toml
index 37eafdc5b54..7cf556fde84 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -108,7 +108,10 @@ tracing = [
 tracing-jaeger = ["opentelemetry-exporter-jaeger==1.20.0"]
 tracing-zipkin = ["opentelemetry-exporter-zipkin==1.20.0"]
 tracing-otlp = ["opentelemetry-exporter-otlp==1.20.0"]
-monitor-otlp = ["opentelemetry-exporter-otlp-proto-http==1.20.0"]
+monitor-otlp = [
+    "opentelemetry-exporter-otlp-proto-http==1.20.0",
+    "opentelemetry-exporter-otlp-proto-grpc==1.20.0",
+]
 
 [build-system]
 requires = ['hatchling', "hatch-vcs>=0.3.0"]
diff --git a/src/bentoml/_internal/monitoring/otlp.py b/src/bentoml/_internal/monitoring/otlp.py
index 4db36836c18..8f1ca032157 100644
--- a/src/bentoml/_internal/monitoring/otlp.py
+++ b/src/bentoml/_internal/monitoring/otlp.py
@@ -27,7 +27,12 @@
 from .base import MonitorBase
 
 try:
-    from opentelemetry.exporter.otlp.proto.http._log_exporter import OTLPLogExporter
+    from opentelemetry.exporter.otlp.proto.grpc._log_exporter import (
+        OTLPLogExporter as OTLPGrpcLogExporter,
+    )
+    from opentelemetry.exporter.otlp.proto.http._log_exporter import (
+        OTLPLogExporter as OTLPHttpLogExporter,
+    )
 except ImportError:
     raise MissingDependencyException(
         "'opentelemetry-exporter-otlp' is required to use OTLP exporter. Make sure to install it with 'pip install \"bentoml[monitor-otlp]\""
@@ -106,6 +111,7 @@ def __init__(
         timeout: int | str | None = None,
         compression: str | None = None,
         meta_sample_rate: float = 1.0,
+        protocol: t.Literal["http", "grpc"] = "http",
         **_: t.Any,
     ) -> None:
         """
@@ -119,6 +125,7 @@ def __init__(
             headers: The headers to use.
             timeout: The timeout to use.
             compression: The compression to use.
+            protocol: The protocol to use.
         """
         super().__init__(name, **_)
 
@@ -135,6 +142,8 @@ def __init__(
         self._schema: dict[str, dict[str, str]] = {}
         self._will_export_schema = False
 
+        self.protocol = protocol
+
     def _init_logger(self) -> None:
         from opentelemetry.sdk.resources import SERVICE_INSTANCE_ID
         from opentelemetry.sdk.resources import SERVICE_NAME
@@ -169,7 +178,27 @@ def _init_logger(self) -> None:
         if self.compression is not None:
             os.environ[OTEL_EXPORTER_OTLP_COMPRESSION] = self.compression
 
-        exporter = OTLPLogExporter()
+        exporter: OTLPHttpLogExporter | OTLPGrpcLogExporter
+        if self.protocol == "http":
+            exporter = OTLPHttpLogExporter(
+                endpoint=self.endpoint,
+                certificate_file=self.credentials,
+                headers=self.headers,
+                timeout=self.timeout,
+                compression=self.compression,
+            )
+        elif self.protocol == "grpc":
+            exporter = OTLPGrpcLogExporter(
+                endpoint=self.endpoint,
+                insecure=self.insecure,
+                credentials=self.credentials,
+                headers=self.headers,
+                timeout=self.timeout,
+                compression=self.compression,
+            )
+        else:
+            raise ValueError(f"Invalid protocol: {self.protocol}")
+
         self.logger_provider.add_log_record_processor(BatchLogRecordProcessor(exporter))
         handler = LoggingHandler(
             level=logging.NOTSET, logger_provider=self.logger_provider