GaN based double gate (DG) metal oxide semiconductor field effect transistors (MOSFETs) with a gate length of 10 nm have been designed for the next generation logic applications. The sub-threshold slope (SS) and drain induced barrier lowering (DIBL) are 66.5 mV/decade and 30 mV/V, respectively. The length of gate underlap is varied from 1 to 4 nm. The underlap architectures exhibit better performance due to reduced capacitive coupling between the contacts (S-G and G-D) which minimize the short channel effects. To improve the figure of merits of the proposed device, source to gate (S-G) and gate to drain (G-D) distances are varied which is mentioned as underlap. The lengths are maintained equal for both sides of the gate.The length of gate underlap is varied from 1 to 4 nm. The underlap architectures exhibit better performance due to reduced capacitive coupling between the contacts (S-G and G-D) which minimize the short channel effects. Therefore, the proposed GaN based DG MOSFETsshows excellent promise as one of the candidates to substitute currently used MOSFETs for future high speed applications.