Frederick married on 2 March 1746 at Schwedt to Duchess Louise Frederica of Württemberg, daughter of Frederick Louis, Hereditary Prince of Württemberg, and his wife Margravine Henriette Marie of Brandenburg-Schwedt.
Her godparents were Prince August of Saxe-Gotha-Altenburg (her first cousin once-removed), The Duchess of Brunswick-Wolfenbüttel (her first cousin twice-removed) and The Duchess of Mecklenburg (wife of her first cousin once-removed), all of whom were represented by proxies.
Baden-Württemberg | Württemberg | Catherine, Duchess of Cambridge | Sarah, Duchess of York | Camilla, Duchess of Cornwall | Marie Louise, Duchess of Parma | Princess Louise, Duchess of Argyll | Louise | Duchess of Cambridge | Louise Slaughter | Kingdom of Württemberg | Tina Louise | Louise Simonson | Louise Nevelson | William I of Württemberg | Sarah Lennox, Duchess of Richmond and Lennox | Louise Brooks | Louise Bourgeois | Duchess of York | Princess Louise | Louise Redknapp | Duchy of Württemberg | Duchess of Kent | Mary-Louise Parker | Maria Teresa, Grand Duchess of Luxembourg | Lake Louise | Duchess of Cornwall | Duchess Charlotte Georgine of Mecklenburg-Strelitz | Catherine of Brunswick-Wolfenbüttel, Duchess of Saxe-Lauenburg | Princess Madeleine, Duchess of Hälsingland and Gästrikland |