He died in 1474 and was buried in the cemetery of the Eyyūb mosque  in Istanbul.Qūshjī was the son of Ulugh Beg’s falconer. He was taught by scholars in the circle of Ulugh Beg which included Kāshī, Qāḍīzāde al-Rūmī, and Ulugh Beg himself. It is said that he was also taught by al-Sayyid al-Sharīf al-Jurjānī; if so, Qūshjī would have been quite young. In 1420, moved to Kirmān and studied astronomy and the mathematical sciences (ca 1423-27) with Mollā Jāmī. He returned to Samarqand ca 1428, and presented Ulugh Beg with his work Ḥall ishkāl al-mu`addil li-l-masīr in which he solved the problems related to Mercury. After after the death of Qādīzāde, Ulugh Beg commissioned Qūshjī to administer the observational work at the Samarqand Observatory that was required for his Zīj (astronomical handbook). Qūshjī contributed to the preparation and correction of the Zīj, but it is unclear to what extent and at what stage (esp. problematic in view of Qūshjī’s criticisms of it in his Sharḥ-i Zīj Ulugh Beg. Upon Ulugh Beg’s death (1449), Qūshjī moved to Herat where wrote his theological work, Sharḥ al-Tajrīd, a commentary to Ṭūsī’s al-Tajrīd fī `ilm al-kalām. In 1469, he moved to Tabrīz. However, ca 1472, Qūshī, together with his family and students, left permanently for Istanbul either on his own or because of an invitation from Sultan Mehmed. Upon arrival in Istanbul, Qūshjī presented to him his mathematical work al-Muḥammadiyya fī al-ḥisāb. Qūshjī spent the remaining 2-3 years of his life in Istanbul teaching first taught in the Ṣaḥn-i Thamān Madrasa (founded by Sultan Mehmed); then as head master of the Ayasofya Madrasa. [Fazlıoğlu]
