Honoring Our WWII Merchant Mariners Act of 2021 This bill requires the Department of Veterans Affairs to distribute a payment of $25,000 to U.S. merchant marines who engaged in qualified service during World War II. To be eligible, an individual must apply for the benefit and must not have received benefits under the Servicemen's Readjustment Act of 1944. The bill sets forth what constitutes qualified service, including time frame of service and licensing requirements.