diff --git a/CHANGELOG.md b/CHANGELOG.md
index 9b45f3cfe5..4c60e3a3a2 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -28,6 +28,8 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0
 - Updating dependency for opentelemetry api/sdk packages to support major version instead
   of pinning to specific versions.
   ([#567](https://github.com/open-telemetry/opentelemetry-python-contrib/pull/567))
+- `opentelemetry-instrumentation-grpc` Respect the suppress instrumentation in gRPC client instrumentor
+  ([#559](https://github.com/open-telemetry/opentelemetry-python-contrib/pull/559))
 - `opentelemetry-instrumentation-grpc` Fixed asynchonous unary call traces
   ([#536](https://github.com/open-telemetry/opentelemetry-python-contrib/pull/536))
 - `opentelemetry-sdk-extension-aws` Update AWS entry points to match spec
diff --git a/instrumentation/opentelemetry-instrumentation-grpc/src/opentelemetry/instrumentation/grpc/_client.py b/instrumentation/opentelemetry-instrumentation-grpc/src/opentelemetry/instrumentation/grpc/_client.py
index a2603bb6be..d3ad28521a 100644
--- a/instrumentation/opentelemetry-instrumentation-grpc/src/opentelemetry/instrumentation/grpc/_client.py
+++ b/instrumentation/opentelemetry-instrumentation-grpc/src/opentelemetry/instrumentation/grpc/_client.py
@@ -24,9 +24,10 @@
 
 import grpc
 
-from opentelemetry import trace
+from opentelemetry import context, trace
 from opentelemetry.instrumentation.grpc import grpcext
 from opentelemetry.instrumentation.grpc._utilities import RpcInfo
+from opentelemetry.instrumentation.utils import _SUPPRESS_INSTRUMENTATION_KEY
 from opentelemetry.propagate import inject
 from opentelemetry.propagators.textmap import Setter
 from opentelemetry.semconv.trace import SpanAttributes
@@ -101,6 +102,9 @@ def _trace_result(self, span, rpc_info, result):
         return result
 
     def _intercept(self, request, metadata, client_info, invoker):
+        if context.get_value(_SUPPRESS_INSTRUMENTATION_KEY):
+            return invoker(request, metadata)
+
         if not metadata:
             mutable_metadata = OrderedDict()
         else:
@@ -184,6 +188,9 @@ def _intercept_server_stream(
     def intercept_stream(
         self, request_or_iterator, metadata, client_info, invoker
     ):
+        if context.get_value(_SUPPRESS_INSTRUMENTATION_KEY):
+            return invoker(request_or_iterator, metadata)
+
         if client_info.is_server_stream:
             return self._intercept_server_stream(
                 request_or_iterator, metadata, client_info, invoker
diff --git a/instrumentation/opentelemetry-instrumentation-grpc/tests/test_client_interceptor.py b/instrumentation/opentelemetry-instrumentation-grpc/tests/test_client_interceptor.py
index 0075d3873c..0f30464744 100644
--- a/instrumentation/opentelemetry-instrumentation-grpc/tests/test_client_interceptor.py
+++ b/instrumentation/opentelemetry-instrumentation-grpc/tests/test_client_interceptor.py
@@ -18,7 +18,7 @@
 )
 
 import opentelemetry.instrumentation.grpc
-from opentelemetry import trace
+from opentelemetry import context, trace
 from opentelemetry.instrumentation.grpc import GrpcInstrumentorClient
 from opentelemetry.instrumentation.grpc._client import (
     OpenTelemetryClientInterceptor,
@@ -26,6 +26,7 @@
 from opentelemetry.instrumentation.grpc.grpcext._interceptor import (
     _UnaryClientInfo,
 )
+from opentelemetry.instrumentation.utils import _SUPPRESS_INSTRUMENTATION_KEY
 from opentelemetry.propagate import get_global_textmap, set_global_textmap
 from opentelemetry.semconv.trace import SpanAttributes
 from opentelemetry.test.mock_textmap import MockTextMapPropagator
@@ -301,3 +302,47 @@ def invoker(request, metadata):
 
         finally:
             set_global_textmap(previous_propagator)
+
+    def test_unary_unary_with_suppress_key(self):
+        token = context.attach(
+            context.set_value(_SUPPRESS_INSTRUMENTATION_KEY, True)
+        )
+        try:
+            simple_method(self._stub)
+            spans = self.memory_exporter.get_finished_spans()
+        finally:
+            context.detach(token)
+        self.assertEqual(len(spans), 0)
+
+    def test_unary_stream_with_suppress_key(self):
+        token = context.attach(
+            context.set_value(_SUPPRESS_INSTRUMENTATION_KEY, True)
+        )
+        try:
+            server_streaming_method(self._stub)
+            spans = self.memory_exporter.get_finished_spans()
+        finally:
+            context.detach(token)
+        self.assertEqual(len(spans), 0)
+
+    def test_stream_unary_with_suppress_key(self):
+        token = context.attach(
+            context.set_value(_SUPPRESS_INSTRUMENTATION_KEY, True)
+        )
+        try:
+            client_streaming_method(self._stub)
+            spans = self.memory_exporter.get_finished_spans()
+        finally:
+            context.detach(token)
+        self.assertEqual(len(spans), 0)
+
+    def test_stream_stream_with_suppress_key(self):
+        token = context.attach(
+            context.set_value(_SUPPRESS_INSTRUMENTATION_KEY, True)
+        )
+        try:
+            bidirectional_streaming_method(self._stub)
+            spans = self.memory_exporter.get_finished_spans()
+        finally:
+            context.detach(token)
+        self.assertEqual(len(spans), 0)