Adolf Friedrich Hesse (30 August 1809 – 5 August 1863) was a German organist and composer.

Hesse was born and died in Breslau. He studied in his home city with the organists Friedrich Wilhelm Berner and Ernst Köhler. In 1831, he became the First Organist at the Bernhardinkirche in his hometown. Considered one of the most important organists in Germany, he also excited audiences in Paris and London with his virtuosic pedalwork. Back in Breslau, he conducted the symphonic concerts of the city's Opera Orchestra. One of Hesse's pupils was Jacques-Nicolas Lemmens, who would later teach Alexandre Guilmant and Charles-Marie Widor.