diff --git a/airflow/models.py b/airflow/models.py
index fa3f6caac4d7f..59a8301619b77 100644
--- a/airflow/models.py
+++ b/airflow/models.py
@@ -1417,10 +1417,7 @@ def get_template_context(self, session=None):
             session.expunge_all()
             session.commit()
 
-        if task.params:
-            params.update(task.params)
-
-        return {
+        context = {
             'dag': task.dag,
             'ds': ds,
             'ds_nodash': ds_nodash,
@@ -1447,6 +1444,18 @@ def get_template_context(self, session=None):
             'test_mode': self.test_mode,
         }
 
+        # Allow task level param definitions to be rendered via jinja
+        # using the context available up until this point
+        if task.params:
+            if task.render_params:
+                rt = self.task.render_template  # shortcut to method
+                rendered_content = rt('params', task.params, context)
+                params.update(rendered_content)
+            else:
+                params.update(task.params)
+
+        return context
+
     def render_templates(self):
         task = self.task
         jinja_context = self.get_template_context()
@@ -1712,6 +1721,9 @@ class derived from this one results in the creation of a task object,
     :param on_success_callback: much like the ``on_failure_callback`` excepts
         that it is executed when the task succeeds.
     :type on_success_callback: callable
+    :param render_params: set this to true to allow params to be rendered
+        and available to other templates
+    :type render_params: bool
     :param trigger_rule: defines the rule by which dependencies are applied
         for the task to get triggered. Options are:
         ``{ all_success | all_failed | all_done | one_success |
@@ -1757,6 +1769,7 @@ def __init__(
             on_failure_callback=None,
             on_success_callback=None,
             on_retry_callback=None,
+            render_params=False,
             trigger_rule=TriggerRule.ALL_SUCCESS,
             *args,
             **kwargs):
@@ -1790,6 +1803,7 @@ def __init__(
                 .format(all_triggers=TriggerRule.all_triggers,
                         d=dag.dag_id, t=task_id, tr = trigger_rule))
 
+        self.render_params = render_params
         self.trigger_rule = trigger_rule
         self.depends_on_past = depends_on_past
         self.wait_for_downstream = wait_for_downstream
@@ -2048,11 +2062,7 @@ def render_template_from_field(self, attr, content, context, jinja_env):
                 k: rt("{}[{}]".format(attr, k), v, context)
                 for k, v in list(content.items())}
         else:
-            param_type = type(content)
-            msg = (
-                "Type '{param_type}' used for parameter '{attr}' is "
-                "not supported for templating").format(**locals())
-            raise AirflowException(msg)
+            result = content
         return result
 
     def render_template(self, attr, content, context):
diff --git a/tests/core.py b/tests/core.py
index d5f33a1be3091..5717ca6fd56a1 100644
--- a/tests/core.py
+++ b/tests/core.py
@@ -435,6 +435,74 @@ def test_py_op(templates_dict, ds, **kwargs):
             dag=self.dag)
         t.run(start_date=DEFAULT_DATE, end_date=DEFAULT_DATE, force=True)
 
+
+    def test_template_context_simple(self):
+        TI = models.TaskInstance
+        dag = models.DAG('test-dag', start_date=DEFAULT_DATE)
+        task = operators.DummyOperator(task_id='task', owner='unittest', dag=dag)
+        ti = TI(task, execution_date=DEFAULT_DATE)
+        context = ti.get_template_context()
+
+        expected = {
+            'tomorrow_ds': '2015-01-02',
+            'task_instance_key_str': 'test-dag__task__20150101',
+            'test_mode': False,
+            'params': {}
+        }
+        self.assertDictContainsSubset(expected, context)
+
+    def test_template_context_with_static_params(self):
+        TI = models.TaskInstance
+        dag = models.DAG('test-dag', start_date=DEFAULT_DATE,
+                         params={'foo': 'dag', 'bar': 'dag'})
+        task = operators.DummyOperator(task_id='task', owner='unittest', dag=dag,
+                                       params={'foo': 'task', 'boolean': True})
+        ti = TI(task, execution_date=DEFAULT_DATE)
+        context = ti.get_template_context()
+
+        expected = {
+            'tomorrow_ds': '2015-01-02',
+            'task_instance_key_str': 'test-dag__task__20150101',
+            'test_mode': False,
+            'params': {'foo': 'task', 'bar': 'dag', 'boolean': True}
+        }
+        self.assertDictContainsSubset(expected, context)
+
+    def test_template_context_with_dynamic_params(self):
+        TI = models.TaskInstance
+        dag = models.DAG('test-dag', start_date=DEFAULT_DATE,
+                         params={'foo': 'dag', 'bar': 'dag'})
+        task = operators.DummyOperator(task_id='task', owner='unittest', dag=dag,
+                                       params={'foo': '{{ ds }}'})
+        ti = TI(task, execution_date=DEFAULT_DATE)
+        context = ti.get_template_context()
+
+        expected = {
+            'tomorrow_ds': '2015-01-02',
+            'task_instance_key_str': 'test-dag__task__20150101',
+            'test_mode': False,
+            'params': {'foo': '{{ ds }}', 'bar': 'dag'}
+        }
+        self.assertDictContainsSubset(expected, context)
+
+    def test_template_context_with_dynamic_params_and_render_params(self):
+        TI = models.TaskInstance
+        dag = models.DAG('test-dag', start_date=DEFAULT_DATE,
+                         params={'foo': 'dag', 'bar': 'dag'})
+        task = operators.DummyOperator(task_id='task', owner='unittest', dag=dag,
+                                       render_params=True,
+                                       params={'foo': '{{ ds }}'})
+        ti = TI(task, execution_date=DEFAULT_DATE)
+        context = ti.get_template_context()
+
+        expected = {
+            'tomorrow_ds': '2015-01-02',
+            'task_instance_key_str': 'test-dag__task__20150101',
+            'test_mode': False,
+            'params': {'foo': '2015-01-01', 'bar': 'dag'}
+        }
+        self.assertDictContainsSubset(expected, context)
+
     def test_complex_template(self):
         class OperatorSubclass(operators.BaseOperator):
             template_fields = ['some_templated_field']