Abstract: A two- dimensional magnetohydrodynamics arbitrary Lagrangian Eulerian(MHD ALE) code, named APMFCG, is used to simulate the dynamic behavior of helical magnetic flux compression generators(MFCG). APMFCG solves the coupled equations of electromagnetics and mechanics in the region of explosive, metal armature and coil, air or filled insulation gas in the generator. A circuit equation couples the electromagnetic fields in the generator to the external load. In this paper, the basic physical model and the main equations are introduced. APMFCG is used to simulate the series of experimental results of a simply wound helical MFCG device developed in Texas Technology University. The agreement of output current and inductance of coil between the experimental and the numerical results is quite sati