Ludwig Johann Wilhelm Gruno, Hereditary Prince of Hesse-Homburg (15 January 1705 – 23 October 1745) was hereditary prince of Hesse-Homburg, member of the House of Hesse and an Imperial Russian field marshal in the service of Empress Elizabeth of Russia.
He was the eldest surviving son of Frederick III, Landgrave of Hesse-Homburg and his wife Princess Elisabeth Dorothea of Hesse-Darmstadt (1676–1721), daughter of Louis VI, Landgrave of Hesse-Darmstadt.
After operations in Eastern Poland in 1734-1735, he again fought against the Crimean Tatars and the Turks in 1736-1737, but now under command of Count Burkhard Christoph von Münnich.
He was awarded with the rank of General-Feldzeugmeister and was appointed Governor of Astrachan and the Persian provinces.
Ludwig Gruno also had good relations with the new Empress Elizabeth of Russia.