diff --git a/IMPLEMENTATION_COVERAGE.md b/IMPLEMENTATION_COVERAGE.md
index 184ee1dc2..1b9896661 100644
--- a/IMPLEMENTATION_COVERAGE.md
+++ b/IMPLEMENTATION_COVERAGE.md
@@ -3286,7 +3286,7 @@
 - [X] deactivate_mfa_device
 - [X] delete_access_key
 - [X] delete_account_alias
-- [ ] delete_account_password_policy
+- [X] delete_account_password_policy
 - [ ] delete_group
 - [ ] delete_group_policy
 - [ ] delete_instance_profile
diff --git a/moto/iam/models.py b/moto/iam/models.py
index 4a4881bf0..c032e1e24 100644
--- a/moto/iam/models.py
+++ b/moto/iam/models.py
@@ -1678,5 +1678,11 @@ class IAMBackend(BaseBackend):
 
         return self.account_password_policy
 
+    def delete_account_password_policy(self):
+        if not self.account_password_policy:
+            raise NoSuchEntity('The account policy with name PasswordPolicy cannot be found.')
+
+        self.account_password_policy = None
+
 
 iam_backend = IAMBackend()
diff --git a/moto/iam/responses.py b/moto/iam/responses.py
index d34e7f599..27fbea990 100644
--- a/moto/iam/responses.py
+++ b/moto/iam/responses.py
@@ -863,6 +863,12 @@ class IamResponse(BaseResponse):
         template = self.response_template(GET_ACCOUNT_PASSWORD_POLICY_TEMPLATE)
         return template.render(password_policy=account_password_policy)
 
+    def delete_account_password_policy(self):
+        iam_backend.delete_account_password_policy()
+
+        template = self.response_template(DELETE_ACCOUNT_PASSWORD_POLICY_TEMPLATE)
+        return template.render()
+
 
 LIST_ENTITIES_FOR_POLICY_TEMPLATE = """<ListEntitiesForPolicyResponse>
  <ListEntitiesForPolicyResult>
@@ -2229,3 +2235,10 @@ GET_ACCOUNT_PASSWORD_POLICY_TEMPLATE = """<GetAccountPasswordPolicyResponse xmln
     <RequestId>7a62c49f-347e-4fc4-9331-6e8eEXAMPLE</RequestId>
   </ResponseMetadata>
 </GetAccountPasswordPolicyResponse>"""
+
+
+DELETE_ACCOUNT_PASSWORD_POLICY_TEMPLATE = """<DeleteAccountPasswordPolicyResponse xmlns="https://iam.amazonaws.com/doc/2010-05-08/">
+  <ResponseMetadata>
+    <RequestId>7a62c49f-347e-4fc4-9331-6e8eEXAMPLE</RequestId>
+  </ResponseMetadata>
+</DeleteAccountPasswordPolicyResponse>"""
diff --git a/tests/test_iam/test_iam.py b/tests/test_iam/test_iam.py
index 943baa204..a05ec8624 100644
--- a/tests/test_iam/test_iam.py
+++ b/tests/test_iam/test_iam.py
@@ -2274,3 +2274,30 @@ def test_get_account_password_policy_errors():
         ClientError,
         'The Password Policy with domain name 123456789012 cannot be found.'
     )
+
+
+@mock_iam
+def test_delete_account_password_policy():
+    client = boto3.client('iam', region_name='us-east-1')
+    client.update_account_password_policy()
+
+    response = client.get_account_password_policy()
+
+    response.should.have.key('PasswordPolicy').which.should.be.a(dict)
+
+    client.delete_account_password_policy()
+
+    client.get_account_password_policy.when.called_with().should.throw(
+        ClientError,
+        'The Password Policy with domain name 123456789012 cannot be found.'
+    )
+
+
+@mock_iam
+def test_delete_account_password_policy_errors():
+    client = boto3.client('iam', region_name='us-east-1')
+
+    client.delete_account_password_policy.when.called_with().should.throw(
+        ClientError,
+        'The account policy with name PasswordPolicy cannot be found.'
+    )