diff --git a/tests/core/pyspec/eth2spec/test/eip4844/block_processing/__init__.py b/tests/core/pyspec/eth2spec/test/eip4844/block_processing/__init__.py
new file mode 100644
index 000000000..e69de29bb
diff --git a/tests/core/pyspec/eth2spec/test/eip4844/block_processing/test_process_bls_to_execution_change.py b/tests/core/pyspec/eth2spec/test/eip4844/block_processing/test_process_bls_to_execution_change.py
new file mode 100644
index 000000000..d9b93394f
--- /dev/null
+++ b/tests/core/pyspec/eth2spec/test/eip4844/block_processing/test_process_bls_to_execution_change.py
@@ -0,0 +1,40 @@
+from eth2spec.test.helpers.bls_to_execution_changes import get_signed_address_change
+from eth2spec.test.context import spec_state_test, expect_assertion_error, with_eip4844_and_later
+
+
+def run_bls_to_execution_change_processing_no_op(spec, state, signed_address_change, valid=True):
+    """
+    Run ``process_bls_to_execution_change``, yielding:
+      - pre-state ('pre')
+      - address-change ('address_change')
+      - post-state ('post').
+    If ``valid == False``, run expecting ``AssertionError``
+    """
+    pre_state = state.copy()
+
+    # yield pre-state
+    yield 'pre', state
+
+    yield 'address_change', signed_address_change
+
+    # If the address_change is invalid, processing is aborted, and there is no post-state.
+    if not valid:
+        expect_assertion_error(lambda: spec.process_bls_to_execution_change(state, signed_address_change))
+        yield 'post', None
+        return
+
+    # process address change
+    spec.process_bls_to_execution_change(state, signed_address_change)
+
+    # yield post-state
+    yield 'post', state
+
+    # Make sure state has NOT been changed
+    assert state == pre_state
+
+
+@with_eip4844_and_later
+@spec_state_test
+def test_no_op(spec, state):
+    signed_address_change = get_signed_address_change(spec, state)
+    yield from run_bls_to_execution_change_processing_no_op(spec, state, signed_address_change)
diff --git a/tests/core/pyspec/eth2spec/test/eip4844/epoch_processing/__init__.py b/tests/core/pyspec/eth2spec/test/eip4844/epoch_processing/__init__.py
new file mode 100644
index 000000000..e69de29bb
diff --git a/tests/core/pyspec/eth2spec/test/eip4844/epoch_processing/test_process_full_withdrawals.py b/tests/core/pyspec/eth2spec/test/eip4844/epoch_processing/test_process_full_withdrawals.py
new file mode 100644
index 000000000..1a7cda91d
--- /dev/null
+++ b/tests/core/pyspec/eth2spec/test/eip4844/epoch_processing/test_process_full_withdrawals.py
@@ -0,0 +1,43 @@
+from eth2spec.test.context import (
+    with_eip4844_and_later,
+    spec_state_test,
+)
+from eth2spec.test.helpers.epoch_processing import (
+    run_epoch_processing_to,
+)
+from eth2spec.test.helpers.withdrawals import (
+    set_validator_fully_withdrawable,
+)
+
+
+def run_process_full_withdrawals_no_op(spec, state, num_expected_withdrawals=None):
+    run_epoch_processing_to(spec, state, 'process_full_withdrawals')
+
+    state.next_withdrawal_index = 0
+    to_be_withdrawn_indices = [
+        index for index, validator in enumerate(state.validators)
+        if spec.is_fully_withdrawable_validator(validator, state.balances[index], spec.get_current_epoch(state))
+    ]
+
+    if num_expected_withdrawals is not None:
+        assert len(to_be_withdrawn_indices) == num_expected_withdrawals
+    else:
+        num_expected_withdrawals = len(to_be_withdrawn_indices)
+
+    pre_state = state.copy()
+
+    yield 'pre', state
+    spec.process_full_withdrawals(state)
+    yield 'post', state
+
+    # Make sure state has NOT been changed
+    assert state == pre_state
+
+
+@with_eip4844_and_later
+@spec_state_test
+def test_no_op(spec, state):
+    # Make one validator withdrawable
+    set_validator_fully_withdrawable(spec, state, 0)
+
+    yield from run_process_full_withdrawals_no_op(spec, state, 1)
diff --git a/tests/core/pyspec/eth2spec/test/eip4844/epoch_processing/test_process_partial_withdrawals.py b/tests/core/pyspec/eth2spec/test/eip4844/epoch_processing/test_process_partial_withdrawals.py
new file mode 100644
index 000000000..992133420
--- /dev/null
+++ b/tests/core/pyspec/eth2spec/test/eip4844/epoch_processing/test_process_partial_withdrawals.py
@@ -0,0 +1,43 @@
+from eth2spec.test.context import (
+    spec_state_test,
+    with_eip4844_and_later,
+)
+from eth2spec.test.helpers.epoch_processing import run_epoch_processing_to
+from eth2spec.test.helpers.withdrawals import (
+    set_validator_partially_withdrawable,
+)
+
+
+def run_process_partial_withdrawals_no_op(spec, state, num_expected_withdrawals=None):
+    # Run rest of epoch processing before predicting partial withdrawals as
+    # balance changes can affect withdrawability
+    run_epoch_processing_to(spec, state, 'process_partial_withdrawals')
+
+    partially_withdrawable_indices = [
+        index for index, validator in enumerate(state.validators)
+        if spec.is_partially_withdrawable_validator(validator, state.balances[index])
+    ]
+    num_partial_withdrawals = min(len(partially_withdrawable_indices), spec.MAX_PARTIAL_WITHDRAWALS_PER_EPOCH)
+
+    if num_expected_withdrawals is not None:
+        assert num_partial_withdrawals == num_expected_withdrawals
+    else:
+        num_expected_withdrawals = num_partial_withdrawals
+
+    pre_state = state.copy()
+
+    yield 'pre', state
+    spec.process_partial_withdrawals(state)
+    yield 'post', state
+
+    # Make sure state has NOT been changed
+    assert state == pre_state
+
+
+@with_eip4844_and_later
+@spec_state_test
+def test_success_one_partial_withdrawable(spec, state):
+    validator_index = len(state.validators) // 2
+    set_validator_partially_withdrawable(spec, state, validator_index)
+
+    yield from run_process_partial_withdrawals_no_op(spec, state, 1)