In this paper, we solved Poisson equation in cylindrical coordinates using approximations to obtain a compact model for the drain current of long-channel junctionless gate-all-around MOSFETs. The resulting model is analytical, explicit, and valid for depletion and accumulation, and consists of simple physically based equations, for better understanding of this device, and also easier implementation and better computation speed as a compact model. The agreement with TCAD simulations is very good.