diff --git a/moto/cloudformation/parsing.py b/moto/cloudformation/parsing.py
index 71a60371a..744b1d08e 100644
--- a/moto/cloudformation/parsing.py
+++ b/moto/cloudformation/parsing.py
@@ -4,6 +4,7 @@ import functools
 import logging
 import copy
 import warnings
+import re
 
 from moto.autoscaling import models as autoscaling_models
 from moto.awslambda import models as lambda_models
@@ -167,6 +168,25 @@ def clean_json(resource_json, resources_map):
             select_list = clean_json(resource_json['Fn::Select'][1], resources_map)
             return select_list[select_index]
 
+        if 'Fn::Sub' in resource_json:
+            if isinstance(resource_json['Fn::Sub'], list):
+                warnings.warn(
+                    "Tried to parse Fn::Sub with variable mapping but it's not supported by moto's CloudFormation implementation")
+            else:
+                fn_sub_value = clean_json(resource_json['Fn::Sub'], resources_map)
+                to_sub = re.findall('(?=\${)[^!^"]*?}', fn_sub_value)
+                literals = re.findall('(?=\${!)[^"]*?}', fn_sub_value)
+                for sub in to_sub:
+                    if '.' in sub:
+                        cleaned_ref = clean_json({'Fn::GetAtt': re.findall('(?<=\${)[^"]*?(?=})', sub)[0].split('.')}, resources_map)
+                    else:
+                        cleaned_ref = clean_json({'Ref': re.findall('(?<=\${)[^"]*?(?=})', sub)[0]}, resources_map)
+                    fn_sub_value = fn_sub_value.replace(sub, cleaned_ref)
+                for literal in literals:
+                    fn_sub_value = fn_sub_value.replace(literal, literal.replace('!', ''))
+                return fn_sub_value
+            pass
+
         cleaned_json = {}
         for key, value in resource_json.items():
             cleaned_val = clean_json(value, resources_map)
diff --git a/tests/test_cloudformation/test_stack_parsing.py b/tests/test_cloudformation/test_stack_parsing.py
index 7b582b9b5..594515468 100644
--- a/tests/test_cloudformation/test_stack_parsing.py
+++ b/tests/test_cloudformation/test_stack_parsing.py
@@ -85,6 +85,26 @@ split_select_template = {
     }
 }
 
+sub_template = {
+    "AWSTemplateFormatVersion": "2010-09-09",
+    "Resources": {
+        "Queue1": {
+            "Type": "AWS::SQS::Queue",
+            "Properties": {
+                "QueueName": {"Fn::Sub": '${AWS::StackName}-queue-${!Literal}'},
+                "VisibilityTimeout": 60,
+            }
+        },
+        "Queue2": {
+            "Type": "AWS::SQS::Queue",
+            "Properties": {
+                "QueueName": {"Fn::Sub": '${Queue1.QueueName}'},
+                "VisibilityTimeout": 60,
+            }
+        },
+    }
+}
+
 outputs_template = dict(list(dummy_template.items()) +
                         list(output_dict.items()))
 bad_outputs_template = dict(
@@ -99,6 +119,7 @@ bad_output_template_json = json.dumps(bad_outputs_template)
 get_attribute_outputs_template_json = json.dumps(
     get_attribute_outputs_template)
 split_select_template_json = json.dumps(split_select_template)
+sub_template_json = json.dumps(sub_template)
 
 
 def test_parse_stack_resources():
@@ -294,3 +315,15 @@ def test_parse_split_and_select():
     queue = stack.resource_map['Queue']
     queue.name.should.equal("myqueue")
 
+
+def test_sub():
+    stack = FakeStack(
+        stack_id="test_id",
+        name="test_stack",
+        template=sub_template_json,
+        parameters={},
+        region_name='us-west-1')
+
+    queue1 = stack.resource_map['Queue1']
+    queue2 = stack.resource_map['Queue2']
+    queue2.name.should.equal(queue1.name)