diff --git a/qiskit/dagcircuit/dagcircuit.py b/qiskit/dagcircuit/dagcircuit.py
index e11b218efba7..4233144c86fe 100644
--- a/qiskit/dagcircuit/dagcircuit.py
+++ b/qiskit/dagcircuit/dagcircuit.py
@@ -23,6 +23,7 @@
 from collections import OrderedDict, defaultdict, deque, namedtuple
 import copy
 import math
+import warnings
 from typing import Dict, Generator, Any, List
 
 import numpy as np
@@ -656,8 +657,16 @@ def apply_operation_back(self, op, qargs=(), cargs=(), *, check=True):
             DAGCircuitError: if a leaf node is connected to multiple outputs
 
         """
-        qargs = tuple(qargs) if qargs is not None else ()
-        cargs = tuple(cargs) if cargs is not None else ()
+        if qargs is None:
+            _warn_none_args()
+            qargs = ()
+        else:
+            qargs = tuple(qargs)
+        if cargs is None:
+            _warn_none_args()
+            cargs = ()
+        else:
+            cargs = tuple(cargs)
 
         if self._operation_may_have_bits(op):
             # This is the slow path; most of the time, this won't happen.
@@ -701,8 +710,16 @@ def apply_operation_front(self, op, qargs=(), cargs=(), *, check=True):
         Raises:
             DAGCircuitError: if initial nodes connected to multiple out edges
         """
-        qargs = tuple(qargs) if qargs is not None else ()
-        cargs = tuple(cargs) if cargs is not None else ()
+        if qargs is None:
+            _warn_none_args()
+            qargs = ()
+        else:
+            qargs = tuple(qargs)
+        if cargs is None:
+            _warn_none_args()
+            cargs = ()
+        else:
+            cargs = tuple(cargs)
 
         if self._operation_may_have_bits(op):
             # This is the slow path; most of the time, this won't happen.
@@ -2099,3 +2116,12 @@ def draw(self, scale=0.7, filename=None, style="color"):
         from qiskit.visualization.dag_visualization import dag_drawer
 
         return dag_drawer(dag=self, scale=scale, filename=filename, style=style)
+
+
+def _warn_none_args():
+    warnings.warn(
+        "Passing 'None' as the qubits or clbits of an operation to 'DAGCircuit' methods"
+        " is deprecated since Qiskit 0.45 and will be removed in Qiskit 1.0.  Instead, pass '()'.",
+        DeprecationWarning,
+        stacklevel=3,
+    )
diff --git a/qiskit/transpiler/passes/scheduling/padding/base_padding.py b/qiskit/transpiler/passes/scheduling/padding/base_padding.py
index 0bac3ba95e96..a90f0c339ced 100644
--- a/qiskit/transpiler/passes/scheduling/padding/base_padding.py
+++ b/qiskit/transpiler/passes/scheduling/padding/base_padding.py
@@ -198,7 +198,7 @@ def _apply_scheduled_op(
         t_start: int,
         oper: Instruction,
         qubits: Qubit | Iterable[Qubit],
-        clbits: Clbit | Iterable[Clbit] | None = None,
+        clbits: Clbit | Iterable[Clbit] = (),
     ):
         """Add new operation to DAG with scheduled information.
 
diff --git a/releasenotes/notes/dag-deprecate-none-args-e6ef868148da275d.yaml b/releasenotes/notes/dag-deprecate-none-args-e6ef868148da275d.yaml
new file mode 100644
index 000000000000..7c1be31b5783
--- /dev/null
+++ b/releasenotes/notes/dag-deprecate-none-args-e6ef868148da275d.yaml
@@ -0,0 +1,7 @@
+---
+deprecations:
+  - |
+    Passing ``None`` as the ``qargs`` or ``cargs`` arguments to :meth:`.DAGCircuit.apply_operation_back`
+    or :meth:`~.DAGCircuit.apply_operation_front` is deprecated and will be removed in Qiskit 1.0.
+    This has been explicitly against the typing documentation for some time, but silently accepted
+    by Qiskit.  Instead, simply pass ``()`` rather than ``None``.
diff --git a/test/python/dagcircuit/test_dagcircuit.py b/test/python/dagcircuit/test_dagcircuit.py
index b539ff3d5da3..9d73ac5a1af0 100644
--- a/test/python/dagcircuit/test_dagcircuit.py
+++ b/test/python/dagcircuit/test_dagcircuit.py
@@ -487,6 +487,18 @@ def test_apply_operation_back(self):
         self.assertEqual(len(list(self.dag.nodes())), 16)
         self.assertEqual(len(list(self.dag.edges())), 17)
 
+    def test_apply_operation_rejects_none(self):
+        """Test that the ``apply_operation_*`` methods warn when given ``None``."""
+        noop = Instruction("noop", 0, 0, [])
+        with self.assertWarnsRegex(DeprecationWarning, "Passing 'None'"):
+            self.dag.apply_operation_back(noop, None, ())
+        with self.assertWarnsRegex(DeprecationWarning, "Passing 'None'"):
+            self.dag.apply_operation_back(noop, (), None)
+        with self.assertWarnsRegex(DeprecationWarning, "Passing 'None'"):
+            self.dag.apply_operation_front(noop, None, ())
+        with self.assertWarnsRegex(DeprecationWarning, "Passing 'None'"):
+            self.dag.apply_operation_front(noop, (), None)
+
     def test_edges(self):
         """Test that DAGCircuit.edges() behaves as expected with ops."""
         x_gate = XGate().c_if(*self.condition)