His father Jalal-ud-Din Ishaq was the qazi and imam of the Shah Rukh's court in Herat.
He studied with his father and his elder brother Sharif-ud-Din Abdur Qahhar and together with them obtained an ijazah (license) from Shams-ud-Din Mohammad Jazari in 1429.
It appears as a chapter in his book Matla-us-Sadain wa Majma-ul-Bahrain (مطلع السعدين ومجمع البحرين) (The Rise of the Two auspicious constellations and the Confluence of the Two Oceans), a book of about 450 pages which contains a detailed chronicle of the history of his part of the world from 1304 to 1470 and which takes much of its contents from other writings.
Abd-al-Razzāq's Matla-us-Sadain wa Majma-ul-Bahrain also included a detailed account of diplomatic relations between Shah Rukh's state and Ming China.
In particular, it incorporated the first-hand account the mission Shah Rukh sent to Beijing in 1420–1422, written by its participant Ghiyāth al-dīn Naqqāsh.