diff --git a/nifty4/models/__init__.py b/nifty4/models/__init__.py
index 849df31a58dc820de4053ae117d4aa5355470444..8c9c918d4040a077936d5c4c6ecfdafc2e6745b6 100644
--- a/nifty4/models/__init__.py
+++ b/nifty4/models/__init__.py
@@ -1,7 +1,7 @@
-from .constant import ConstantModel
+from .constant import Constant
 from .local_nonlinearity import LocalModel
 from .model import LinearModel, Model
-from .position import PositionModel
+from .variable import Variable
 
-__all__ = ['Model', 'ConstantModel', 'LocalModel', 'PositionModel',
+__all__ = ['Model', 'Constant', 'LocalModel', 'Variable',
            'LinearModel']
diff --git a/nifty4/models/constant.py b/nifty4/models/constant.py
index abca44f8054ccc75021a6f423e43528341be85ba..5a4d39c7243c9a8f9fe7b4e8aace7a2bf0d95f70 100644
--- a/nifty4/models/constant.py
+++ b/nifty4/models/constant.py
@@ -2,9 +2,9 @@ from ..operators import MultiSkyGradientOperator
 from .model import Model
 
 
-class ConstantModel(Model):
+class Constant(Model):
     def __init__(self, position, constant):
-        super(ConstantModel, self).__init__(position)
+        super(Constant, self).__init__(position)
         self._constant = constant
 
         self._value = self._constant
diff --git a/nifty4/models/position.py b/nifty4/models/variable.py
similarity index 78%
rename from nifty4/models/position.py
rename to nifty4/models/variable.py
index 908f7498ea5779d1f101027987ab6252f9dea8fa..3c485089cabb5742699cd48d035a6ffd8e14017d 100644
--- a/nifty4/models/position.py
+++ b/nifty4/models/variable.py
@@ -3,12 +3,12 @@ import nifty4 as ift
 from .model import Model
 
 
-class PositionModel(Model):
+class Variable(Model):
     """
     Returns the MultiField.
     """
     def __init__(self, position):
-        super(PositionModel, self).__init__(position)
+        super(Variable, self).__init__(position)
 
         self._value = position
         self._gradient = ift.ScalingOperator(1., position.domain)