He was the son of Kilij Arslan IV, the weak representative of the Seljuq line who was controlled by the Pervane, Mu’in al-Din Suleyman.
The Pervâne Mu‘in al-Din Suleyman (died 1277), politician in Anatolia
In 1277, Baybars entered the Seljuk sultanate and on 18 March, overcame the Mongol army in Elbistan, while Pervâne, who was in command of the Seljuk contingent expected by both Baybars and the Mongols, took flight to Tokat along with the young sultan.
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According to Ibn Shaddad, when Baybars came to Syria in 1275, Pervâne played a pivotal role in dissuading him from his plans for invading the Anatolian heartland and directed him rather towards raids in the Armenian Kingdom of Cilicia, persuading him to leave the territories of his sultanate to the following year.
The young Kaykhusraw became no more than a figurehead and played no part in the events of his reign, which were dominated first by the Pervane and later by the Mongol vizier of Rum, Fakhr al-Din Ali.
They were the parents of David VI of Georgia and a daughter named Tamar, who married her cousin, the sultan Kaykhusraw II, and following his death in 1246, the Pervane Mu'in al-Din Suleyman as one of the preconditions of the peace settlement.