IANT was established in February 1971 and was incorporated in the state of Texas as a non-profit, tax exempt, and religious organization.

As the Muslim community in the Dallas area grew, it was decided to purchase three frame houses on Bagdad Road in Grand Prairie, Texas, which became the headquarters of IANT.

However, the region proved inadequate because most newly arriving families preferred the Richardson/Garland area which was in a closer proximity to the city of Dallas and provided better school districts and the need for larger premises became a necessity.

During the ensuing years, the community grew exponentially and forced the administration to embark a big expansion project with a larger prayer hall, better facilities for the ladies, a body preparation facility (which is used for funerals), a multi-purpose hall for conferences and other social activities such as exhibitions and games.

[citation needed] During this period of changes, the community around the association grew so large, that Dr. Yusuf Ziya Kavakci, a well known Turkish scholar who served as the Imam of the Masjid at that time, initiated the IQA Quranic Academy, with the goal of generating scholars of the future to serve the entire nation.