diff --git a/src/queens/parameters/parameters.py b/src/queens/parameters/parameters.py
index 5babd1ee5..17f834027 100644
--- a/src/queens/parameters/parameters.py
+++ b/src/queens/parameters/parameters.py
@@ -19,6 +19,7 @@
 import numpy as np
 
 from queens.distributions._distribution import Continuous, Discrete
+from queens.distributions.free_variable import FreeVariable
 from queens.parameters.random_fields._random_field import RandomField
 from queens.utils.logger_settings import log_init_args
 
@@ -60,16 +61,26 @@ class Parameters:
     """
 
     @log_init_args
-    def __init__(self, **parameters):
+    def __init__(self, *parameters_without_distribution, **parameters):
         """Initialize Parameters object.
 
         Args:
-            **parameters (Distribution, RandomField): parameters as keyword arguments
+            *parameters_without_distribution (str): Names of one-dimensional parameters without
+                                                    assumption about underlying distribution.
+            **parameters (Distribution, RandomField): parameters as keyword arguments. The keyword
+                                                      corresponds to the parameter name and the
+                                                      value corresponds to the underlying
+                                                      distribution.
         """
         joint_parameters_keys = []
         joint_parameters_dim = 0
         random_field_flag = False
 
+        for parameter_name in parameters_without_distribution:
+            if parameter_name in parameters:
+                raise ValueError(f"Parameter name {parameter_name} can only be used once.")
+            parameters[parameter_name] = FreeVariable(1)
+
         for parameter_name, parameter_obj in parameters.items():
             if isinstance(parameter_obj, (Continuous, Discrete)):
                 joint_parameters_keys = _add_parameters_keys(
diff --git a/tests/integration_tests/iterators/test_optimization.py b/tests/integration_tests/iterators/test_optimization.py
index 30662934b..d303aa099 100644
--- a/tests/integration_tests/iterators/test_optimization.py
+++ b/tests/integration_tests/iterators/test_optimization.py
@@ -34,9 +34,7 @@
 def test_optimization_rosenbrock(algorithm, global_settings):
     """Test different solution algorithms in optimization iterator."""
     # Parameters
-    x1 = FreeVariable(dimension=1)
-    x2 = FreeVariable(dimension=1)
-    parameters = Parameters(x1=x1, x2=x2)
+    parameters = Parameters("x1", "x2")
 
     # Setup iterator
     driver = Function(parameters=parameters, function="rosenbrock60")