diff --git a/cirq-core/cirq/circuits/qasm_output.py b/cirq-core/cirq/circuits/qasm_output.py
index 971d8c2e72d..35abb4c26a5 100644
--- a/cirq-core/cirq/circuits/qasm_output.py
+++ b/cirq-core/cirq/circuits/qasm_output.py
@@ -17,12 +17,14 @@
 from __future__ import annotations
 
 import re
-from collections.abc import Callable, Iterator, Sequence
+from collections.abc import Callable, Iterator, Sequence, Set
 from typing import TYPE_CHECKING
 
 import numpy as np
+import sympy
 
 from cirq import linalg, ops, protocols, value
+from cirq._compat import proper_repr
 
 if TYPE_CHECKING:
     import cirq
@@ -30,7 +32,7 @@
 
 @value.value_equality(approximate=True)
 class QasmUGate(ops.Gate):
-    def __init__(self, theta, phi, lmda) -> None:
+    def __init__(self, theta: cirq.TParamVal, phi: cirq.TParamVal, lmda: cirq.TParamVal) -> None:
         """A QASM gate representing any single qubit unitary with a series of
         three rotations, Z, Y, and Z.
 
@@ -41,9 +43,9 @@ def __init__(self, theta, phi, lmda) -> None:
             phi: Half turns to rotate about Z (applied last).
             lmda: Half turns to rotate about Z (applied first).
         """
-        self.lmda = lmda % 2
         self.theta = theta % 2
         self.phi = phi % 2
+        self.lmda = lmda % 2
 
     def _num_qubits_(self) -> int:
         return 1
@@ -54,7 +56,28 @@ def from_matrix(mat: np.ndarray) -> QasmUGate:
         return QasmUGate(rotation / np.pi, post_phase / np.pi, pre_phase / np.pi)
 
     def _has_unitary_(self):
-        return True
+        return not self._is_parameterized_()
+
+    def _is_parameterized_(self) -> bool:
+        return (
+            protocols.is_parameterized(self.theta)
+            or protocols.is_parameterized(self.phi)
+            or protocols.is_parameterized(self.lmda)
+        )
+
+    def _parameter_names_(self) -> Set[str]:
+        return (
+            protocols.parameter_names(self.theta)
+            | protocols.parameter_names(self.phi)
+            | protocols.parameter_names(self.lmda)
+        )
+
+    def _resolve_parameters_(self, resolver: cirq.ParamResolver, recursive: bool) -> QasmUGate:
+        return QasmUGate(
+            protocols.resolve_parameters(self.theta, resolver, recursive),
+            protocols.resolve_parameters(self.phi, resolver, recursive),
+            protocols.resolve_parameters(self.lmda, resolver, recursive),
+        )
 
     def _qasm_(self, qubits: tuple[cirq.Qid, ...], args: cirq.QasmArgs) -> str:
         args.validate_version('2.0', '3.0')
@@ -69,18 +92,21 @@ def _qasm_(self, qubits: tuple[cirq.Qid, ...], args: cirq.QasmArgs) -> str:
     def __repr__(self) -> str:
         return (
             f'cirq.circuits.qasm_output.QasmUGate('
-            f'theta={self.theta!r}, '
-            f'phi={self.phi!r}, '
-            f'lmda={self.lmda})'
+            f'theta={proper_repr(self.theta)}, '
+            f'phi={proper_repr(self.phi)}, '
+            f'lmda={proper_repr(self.lmda)})'
         )
 
     def _decompose_(self, qubits):
+        def mul_pi(x):
+            return x * (sympy.pi if protocols.is_parameterized(x) else np.pi)
+
         q = qubits[0]
         phase_correction_half_turns = (self.phi + self.lmda) / 2
         return [
-            ops.rz(self.lmda * np.pi).on(q),
-            ops.ry(self.theta * np.pi).on(q),
-            ops.rz(self.phi * np.pi).on(q),
+            ops.rz(mul_pi(self.lmda)).on(q),
+            ops.ry(mul_pi(self.theta)).on(q),
+            ops.rz(mul_pi(self.phi)).on(q),
             ops.global_phase_operation(1j ** (2 * phase_correction_half_turns)),
         ]
 
diff --git a/cirq-core/cirq/circuits/qasm_output_test.py b/cirq-core/cirq/circuits/qasm_output_test.py
index 8285ffa7d5c..12f4e2cbf05 100644
--- a/cirq-core/cirq/circuits/qasm_output_test.py
+++ b/cirq-core/cirq/circuits/qasm_output_test.py
@@ -19,6 +19,7 @@
 
 import numpy as np
 import pytest
+import sympy
 
 import cirq
 from cirq.circuits.qasm_output import QasmTwoQubitGate, QasmUGate
@@ -68,6 +69,28 @@ def test_u_gate_from_qiskit_ugate_unitary(_) -> None:
     np.testing.assert_allclose(cirq.unitary(g), u, atol=1e-7)
 
 
+def test_u_gate_params() -> None:
+    q = cirq.LineQubit(0)
+    a, b, c = sympy.symbols('a b c')
+    u_gate = QasmUGate(a, b, c)
+    assert u_gate == QasmUGate(a, b + 2, c - 2)
+    assert u_gate != QasmUGate(a, b + 1, c - 1)
+    assert cirq.is_parameterized(u_gate)
+    assert cirq.parameter_names(u_gate) == {'a', 'b', 'c'}
+    assert not cirq.has_unitary(u_gate)
+    cirq.testing.assert_equivalent_repr(u_gate)
+    cirq.testing.assert_implements_consistent_protocols(u_gate)
+    u_gate_caps = cirq.resolve_parameters(u_gate, {'a': 'A', 'b': 'B', 'c': 'C'})
+    assert u_gate_caps == QasmUGate(*sympy.symbols('A B C'))
+    resolver = {'A': 0.1, 'B': 2.2, 'C': -1.7}
+    resolved = cirq.resolve_parameters(u_gate_caps, resolver)
+    assert cirq.approx_eq(resolved, QasmUGate(0.1, 0.2, 0.3))
+    resolved_then_decomposed = cirq.decompose_once_with_qubits(resolved, [q])
+    decomposed = cirq.decompose_once_with_qubits(u_gate_caps, [q])
+    decomposed_then_resolved = [cirq.resolve_parameters(g, resolver) for g in decomposed]
+    assert resolved_then_decomposed == decomposed_then_resolved
+
+
 def test_qasm_two_qubit_gate_repr() -> None:
     cirq.testing.assert_equivalent_repr(
         QasmTwoQubitGate.from_matrix(cirq.testing.random_unitary(4))