diff --git a/src/Storages/ObjectStorage/DataLakes/Iceberg/IcebergMetadata.cpp b/src/Storages/ObjectStorage/DataLakes/Iceberg/IcebergMetadata.cpp
index 58f2926cc07e..be0ff5efbecd 100644
--- a/src/Storages/ObjectStorage/DataLakes/Iceberg/IcebergMetadata.cpp
+++ b/src/Storages/ObjectStorage/DataLakes/Iceberg/IcebergMetadata.cpp
@@ -545,6 +545,11 @@ void IcebergMetadata::checkAlterIsPossible(const AlterCommands & commands)
         if (command.type != AlterCommand::Type::ADD_COLUMN && command.type != AlterCommand::Type::DROP_COLUMN
             && command.type != AlterCommand::Type::MODIFY_COLUMN)
             throw Exception(ErrorCodes::NOT_IMPLEMENTED, "Alter of type '{}' is not supported by Iceberg storage", command.type);
+
+        if (command.type == AlterCommand::Type::MODIFY_COLUMN && command.to_remove != AlterCommand::RemoveProperty::NO_PROPERTY)
+            throw Exception(
+                ErrorCodes::NOT_IMPLEMENTED,
+                "Removing column property '{}' from column '{}' is not supported by Iceberg storage", command.to_remove, command.column_name);
     }
 }
 
diff --git a/tests/queries/0_stateless/04033_iceberg_alter_remove_settings_segfault.reference b/tests/queries/0_stateless/04033_iceberg_alter_remove_settings_segfault.reference
new file mode 100644
index 000000000000..23fb9dac9555
--- /dev/null
+++ b/tests/queries/0_stateless/04033_iceberg_alter_remove_settings_segfault.reference
@@ -0,0 +1 @@
+NOT_IMPLEMENTED
diff --git a/tests/queries/0_stateless/04033_iceberg_alter_remove_settings_segfault.sh b/tests/queries/0_stateless/04033_iceberg_alter_remove_settings_segfault.sh
new file mode 100755
index 000000000000..4579abcf5035
--- /dev/null
+++ b/tests/queries/0_stateless/04033_iceberg_alter_remove_settings_segfault.sh
@@ -0,0 +1,28 @@
+#!/usr/bin/env bash
+# Tags: no-fasttest
+
+# Regression test for https://github.com/ClickHouse/ClickHouse/issues/86330
+# ALTER TABLE ... MODIFY COLUMN ... REMOVE SETTINGS on an Iceberg table
+# should return an error instead of causing a segfault.
+
+CURDIR=$(cd "$(dirname "${BASH_SOURCE[0]}")" && pwd)
+# shellcheck source=../shell_config.sh
+. "$CURDIR"/../shell_config.sh
+
+TABLE="t_${CLICKHOUSE_DATABASE}_${RANDOM}"
+TABLE_PATH="${USER_FILES_PATH}/${TABLE}/"
+
+${CLICKHOUSE_CLIENT} --query "DROP TABLE IF EXISTS ${TABLE}"
+${CLICKHOUSE_CLIENT} --query "
+    CREATE TABLE ${TABLE} (c0 Int)
+    ENGINE = IcebergLocal('${TABLE_PATH}')
+"
+# To have at least one real snapshot. Otherwise alter can be noop.
+${CLICKHOUSE_CLIENT} --allow_insert_into_iceberg=1 --query "INSERT INTO ${TABLE} VALUES (1)"
+
+${CLICKHOUSE_CLIENT} --query "
+    ALTER TABLE ${TABLE} MODIFY COLUMN c0 REMOVE SETTINGS
+" 2>&1 | grep -o -m1 "NOT_IMPLEMENTED"
+
+${CLICKHOUSE_CLIENT} --query "DROP TABLE IF EXISTS ${TABLE}"
+rm -rf "${TABLE_PATH}"