diff --git a/pkg/local_object_storage/engine/inhume_test.go b/pkg/local_object_storage/engine/inhume_test.go
new file mode 100644
index 0000000000..2c3a46e886
--- /dev/null
+++ b/pkg/local_object_storage/engine/inhume_test.go
@@ -0,0 +1,74 @@
+package engine
+
+import (
+	"os"
+	"testing"
+
+	objectSDK "github.com/nspcc-dev/neofs-api-go/pkg/object"
+	"github.com/nspcc-dev/neofs-node/pkg/local_object_storage/shard"
+	"github.com/stretchr/testify/require"
+)
+
+func TestStorageEngine_Inhume(t *testing.T) {
+	defer os.RemoveAll(t.Name())
+
+	cid := testCID()
+	splitID := objectSDK.NewSplitID()
+
+	fs := objectSDK.SearchFilters{}
+	fs.AddRootFilter()
+
+	tombstoneID := generateRawObjectWithCID(t, cid).Object().Address()
+	parent := generateRawObjectWithCID(t, cid)
+
+	child := generateRawObjectWithCID(t, cid)
+	child.SetParent(parent.Object().SDK())
+	child.SetParentID(parent.ID())
+	child.SetSplitID(splitID)
+
+	link := generateRawObjectWithCID(t, cid)
+	link.SetParent(parent.Object().SDK())
+	link.SetParentID(parent.ID())
+	link.SetChildren(child.ID())
+	link.SetSplitID(splitID)
+
+	t.Run("delete small object", func(t *testing.T) {
+		e := testNewEngineWithShards(testNewShard(t, 1))
+		defer e.Close()
+
+		err := Put(e, parent.Object())
+		require.NoError(t, err)
+
+		inhumePrm := new(InhumePrm).WithTarget(tombstoneID, parent.Object().Address())
+		_, err = e.Inhume(inhumePrm)
+		require.NoError(t, err)
+
+		addrs, err := Select(e, cid, fs)
+		require.NoError(t, err)
+		require.Empty(t, addrs)
+	})
+
+	t.Run("delete big object", func(t *testing.T) {
+		s1 := testNewShard(t, 1)
+		s2 := testNewShard(t, 2)
+
+		e := testNewEngineWithShards(s1, s2)
+		defer e.Close()
+
+		putChild := new(shard.PutPrm).WithObject(child.Object())
+		_, err := s1.Put(putChild)
+		require.NoError(t, err)
+
+		putLink := new(shard.PutPrm).WithObject(link.Object())
+		_, err = s2.Put(putLink)
+		require.NoError(t, err)
+
+		inhumePrm := new(InhumePrm).WithTarget(tombstoneID, parent.Object().Address())
+		_, err = e.Inhume(inhumePrm)
+		require.NoError(t, err)
+
+		addrs, err := Select(e, cid, fs)
+		require.NoError(t, err)
+		require.Empty(t, addrs)
+	})
+}