In this paper, for the first time a new propitious surface potential model of tunnel field effect transistor (TFET) is presented. TFET uses band-to-band tunneling (BTBT) process and has a wide perspective in the field of nano-scale device suspending MOSFET as a switching device. The sub-threshold swing limitation of conventional MOSFET is minified by using TFET, thus establishing its own pathway and representing itself as an unprecedented device for low power application. In order to incorporate the advantages of both surrounding gate structure combined with TFET, an analytical model of surrounding gate TFET is presented. The surface potential model is developed using Gauss's law of Electrostatics and implemented on a cylindrical structure. Performance of the device is tested for variation using high gate dielectrics and also by altering gate oxide thickness of surrounding gate TFET channel and silicon body thickness.