diff --git a/moto/organizations/models.py b/moto/organizations/models.py
index 4ad630cec..2b51a8043 100644
--- a/moto/organizations/models.py
+++ b/moto/organizations/models.py
@@ -405,6 +405,13 @@ class OrganizationsBackend(BaseBackend):
         self.attach_policy(PolicyId=utils.DEFAULT_POLICY_ID, TargetId=new_ou.id)
         return new_ou.describe()
 
+    def delete_organizational_unit(self, **kwargs):
+        ou_to_delete = self.get_organizational_unit_by_id(
+            kwargs["OrganizationalUnitId"]
+        )
+        self.ou.remove(ou_to_delete)
+        return {}
+
     def update_organizational_unit(self, **kwargs):
         for ou in self.ou:
             if ou.name == kwargs["Name"]:
diff --git a/moto/organizations/responses.py b/moto/organizations/responses.py
index f30e2b4bf..321b7997c 100644
--- a/moto/organizations/responses.py
+++ b/moto/organizations/responses.py
@@ -41,6 +41,11 @@ class OrganizationsResponse(BaseResponse):
             self.organizations_backend.create_organizational_unit(**self.request_params)
         )
 
+    def delete_organizational_unit(self):
+        return json.dumps(
+            self.organizations_backend.delete_organizational_unit(**self.request_params)
+        )
+
     def update_organizational_unit(self):
         return json.dumps(
             self.organizations_backend.update_organizational_unit(**self.request_params)
diff --git a/tests/test_organizations/test_organizations_boto3.py b/tests/test_organizations/test_organizations_boto3.py
index f4d273e62..4a04da617 100644
--- a/tests/test_organizations/test_organizations_boto3.py
+++ b/tests/test_organizations/test_organizations_boto3.py
@@ -110,6 +110,31 @@ def test_create_organizational_unit():
     response["OrganizationalUnit"]["Name"].should.equal(ou_name)
 
 
+@mock_organizations
+def test_delete_organizational_unit():
+    client = boto3.client("organizations", region_name="us-east-1")
+    org = client.create_organization(FeatureSet="ALL")["Organization"]
+    root_id = client.list_roots()["Roots"][0]["Id"]
+    ou_name = "ou01"
+    response = client.create_organizational_unit(ParentId=root_id, Name=ou_name)
+    validate_organizational_unit(org, response)
+
+    # delete organizational unit
+    ou_id = response["OrganizationalUnit"]["Id"]
+    response = client.delete_organizational_unit(OrganizationalUnitId=ou_id)
+    response["ResponseMetadata"]["HTTPStatusCode"].should.equal(200)
+
+    # verify the deletion
+    with pytest.raises(ClientError) as e:
+        client.describe_organizational_unit(OrganizationalUnitId=ou_id)
+    ex = e.value
+    ex.operation_name.should.equal("DescribeOrganizationalUnit")
+    ex.response["Error"]["Code"].should.equal("400")
+    ex.response["Error"]["Message"].should.contain(
+        "OrganizationalUnitNotFoundException"
+    )
+
+
 @mock_organizations
 def test_describe_organizational_unit():
     client = boto3.client("organizations", region_name="us-east-1")