Sultan Muhammad Mirza was a Timurid Dynasty Prince and Grandson of the Central Asian Mongol conqueror Timur by his third son Miran Shah. Little is known about his life, though through his son Sultan Abu Sa'id Mirza, he was the great-grandfather of Babur, founder of the Mughal Empire of South Asian Subcontinent.

The Timurid dynasty, self-designated as Gurkani, was a Sunni Muslim dynasty or clan of Turco-Mongol origin descended from the warlord Timur. The word "Gurkani" derives from "Gurkan", a Persianized form of the Mongolian word "Kuragan" meaning "son-in-law". This was an honorific title used by the dynasty as the Timurids were in-laws of the line of Genghis Khan, founder of the Mongol Empire, as Timur had married Saray Mulk Khanum, a direct descendant of Genghis Khan. Members of the Timurid dynasty signaled the Timurid Renaissance, and they were strongly influenced by Persian culture and established two significant empires in history, the Timurid Empire (1370–1507) based in Persia and Central Asia, and the Mughal Empire (1526–1857) based in the Indian subcontinent.