For more than 20 years nuclear physicists have used the GEANT code to simulate particle-matter interaction. In most recent version, GEANT4 is a toolkit for simulating the passage of particles though matter, which contains a complete range of functionality including tracking, geometry, physics models, and hits. In this article, an attempt to use GEANT4 to model a double-gap resistive plate chamber (RFC) with its improved efficiency is presented. The efficiencies of the double-gap RFC have been evaluated as a function of gamma energy range 0.005-1OOOMeV. A comparison to available previous simulation package GEANT3 data is also performed.