The Suhrawardyah was formed in association with Abu al-Najib Suhrawardi and his nephew Shahab al-Din Omar Suhrawardi. The treatise Awarif al-Ma'arif was influential in codifying and transmitting the Sufi traditions of this tradition, and its students established educational networks in Baghdad and other regions.

Suhrawardyya emphasized disciple training, monastic etiquette, and the connection between spiritual conduct and social life. The name has been used historically for branches and networks that have varied geographically and over time; therefore, it should not be considered a completely centralized and fixed organization.