Buraq Hajib is thought to be a member of Qara Khitai dynasty and a son of a Khitan noble Kulduz. Buraq Hajib and his brother Hamīd Pur (or Khan Temür) Tayangu were detained or captured by
Muhammad of
Khwarezm in 1210, and were given important posts. He was initially in the service of Khwarazm prince Ghiyas-ad-Din Purshah, under whom he was nicknamed
Qutlugh Khan. He was soon appointed as the commander of
Isfahan for
Khwarazmshahs. He arrived at Kerman at first as a commander of Purshah's army, joining him in the battle against
Salghurid atabeg Sa'd I. However, he had an argument with Purshah's vizier Tajaddin Karim ash-Sharq and left for India hearing approachment of a
Mongol army under command of Tolun Cherbi (step-son of
Hoelun). While on his way to India, Buraq was attacked by the local governor of Kirman - Shuja ad-Din Abul-Qasim, but Buraq managed to defeat him thanks to defection of Turks and decided to start a siege of Kirman. He had submit to
Jalal ad-Din at first, offering her daughter's hand, who in turn helped him to conquer Kirman. He quickly got involved in local politics, aiding
Nasrid emir Ali b. Harb in his struggle to throne in 1225. == Reign ==