diff --git a/ear/core/importance.py b/ear/core/importance.py
index 1d90fb8..dda315b 100644
--- a/ear/core/importance.py
+++ b/ear/core/importance.py
@@ -18,6 +18,7 @@ def filter_by_importance(rendering_items,
     Yields: RenderingItem
     """
     f = mute_audioBlockFormat_by_importance(rendering_items, threshold)
+    f = mute_hoa_channels_by_importance(f, threshold)
     f = filter_audioObject_by_importance(f, threshold)
     f = filter_audioPackFormat_by_importance(f, threshold)
     return f
@@ -115,3 +116,28 @@ def mute_unimportant_block(type_metadata):
                     item.metadata_source, mute_unimportant_block
                 ),
             )
+
+
+def mute_hoa_channels_by_importance(rendering_items, threshold):
+    def mute_unimportant_channels(type_metadata):
+        if min(type_metadata.importances) < threshold:
+            new_gains = [
+                0.0 if importance < threshold else gain
+                for (gain, importance) in zip(
+                    type_metadata.gains, type_metadata.importances
+                )
+            ]
+            return evolve(type_metadata, gains=new_gains)
+        else:
+            return type_metadata
+
+    for item in rendering_items:
+        if isinstance(item, HOARenderingItem):
+            yield evolve(
+                item,
+                metadata_source=MetadataSourceMap(
+                    item.metadata_source, mute_unimportant_channels
+                ),
+            )
+        else:
+            yield item
diff --git a/ear/core/test/test_importance.py b/ear/core/test/test_importance.py
index ec0bbb1..198adf2 100644
--- a/ear/core/test/test_importance.py
+++ b/ear/core/test/test_importance.py
@@ -4,6 +4,7 @@
     DirectSpeakersRenderingItem,
     DirectSpeakersTypeMetadata,
     HOARenderingItem,
+    HOATypeMetadata,
     DirectTrackSpec,
     ImportanceData,
     MetadataSourceIter,
@@ -20,6 +21,7 @@
     filter_audioObject_by_importance,
     filter_audioPackFormat_by_importance,
 )
+from attrs import evolve
 from fractions import Fraction
 import pytest
 
@@ -185,3 +187,38 @@ def test_importance_filter_blocks_single_channel(make_type_metadata, make_render
     rendering_items_out = filter_by_importance(rendering_items, 6)
     [rendering_item_out] = rendering_items_out
     assert get_blocks(rendering_item_out.metadata_source) == expected
+
+
+@pytest.mark.parametrize(
+    "gains",
+    [
+        [1.0, 1.0, 1.0, 1.0],
+        [0.5, 0.25, 0.25, 0.25],
+    ],
+)
+def test_importance_filter_hoa(gains):
+    type_metadatas = [
+        HOATypeMetadata(
+            orders=[0, 1, 1, 1],
+            degrees=[0, -1, 0, 1],
+            importances=[6, 5, 5, 5],
+            normalization="SN3D",
+            gains=gains,
+        ),
+    ]
+    expected = [
+        evolve(
+            type_metadatas[0],
+            gains=[gains[0], 0.0, 0.0, 0.0],
+        ),
+    ]
+    rendering_items = [
+        HOARenderingItem(
+            track_specs=[DirectTrackSpec(i) for i in range(4)],
+            metadata_source=MetadataSourceIter(type_metadatas),
+        ),
+    ]
+
+    rendering_items_out = filter_by_importance(rendering_items, 6)
+    [rendering_item_out] = rendering_items_out
+    assert get_blocks(rendering_item_out.metadata_source) == expected