diff --git a/qiskit/providers/basicaer/qasm_simulator.py b/qiskit/providers/basicaer/qasm_simulator.py
index 28b9e80383ba..a368f3db2131 100644
--- a/qiskit/providers/basicaer/qasm_simulator.py
+++ b/qiskit/providers/basicaer/qasm_simulator.py
@@ -68,7 +68,7 @@ class QasmSimulatorPy(BackendV1):
         "conditional": True,
         "open_pulse": False,
         "memory": True,
-        "max_shots": 65536,
+        "max_shots": 0,
         "coupling_map": None,
         "description": "A python simulator for qasm experiments",
         "basis_gates": ["u1", "u2", "u3", "rz", "sx", "x", "cx", "id", "unitary"],
diff --git a/qiskit/providers/basicaer/statevector_simulator.py b/qiskit/providers/basicaer/statevector_simulator.py
index 7c7fd697f2be..355c5ce99589 100644
--- a/qiskit/providers/basicaer/statevector_simulator.py
+++ b/qiskit/providers/basicaer/statevector_simulator.py
@@ -48,7 +48,7 @@ class StatevectorSimulatorPy(QasmSimulatorPy):
         "conditional": True,
         "open_pulse": False,
         "memory": True,
-        "max_shots": 65536,
+        "max_shots": 0,
         "coupling_map": None,
         "description": "A Python statevector simulator for qobj files",
         "basis_gates": ["u1", "u2", "u3", "rz", "sx", "x", "cx", "id", "unitary"],
diff --git a/qiskit/providers/basicaer/unitary_simulator.py b/qiskit/providers/basicaer/unitary_simulator.py
index cc01b4d7d858..a4a0328a1007 100644
--- a/qiskit/providers/basicaer/unitary_simulator.py
+++ b/qiskit/providers/basicaer/unitary_simulator.py
@@ -69,7 +69,7 @@ class UnitarySimulatorPy(BackendV1):
         "conditional": False,
         "open_pulse": False,
         "memory": False,
-        "max_shots": 65536,
+        "max_shots": 0,
         "coupling_map": None,
         "description": "A python simulator for unitary matrix corresponding to a circuit",
         "basis_gates": ["u1", "u2", "u3", "rz", "sx", "x", "cx", "id", "unitary"],
diff --git a/releasenotes/notes/remove-basicaer-shot-limit-b7cd4e6f6739885c.yaml b/releasenotes/notes/remove-basicaer-shot-limit-b7cd4e6f6739885c.yaml
new file mode 100644
index 000000000000..b399b49a56ef
--- /dev/null
+++ b/releasenotes/notes/remove-basicaer-shot-limit-b7cd4e6f6739885c.yaml
@@ -0,0 +1,4 @@
+---
+upgrade:
+  - |
+    The measurement shot limit for the BasicAer backend has been removed.