The objective of the present work is to build an efficient computational method for numerical simulation and to understand the dynamics of deformation during the electromagnetic forming process (EMF). The finite difference method is used to solve the electromagnetic problem. The magnetic pressure due to the body forces generated by electromagnetic induction is calculated. To verify the results obtained through the finite difference programme, the electromagnetic finite element code FEMM4.0 is used. An axisymmetric finite element model for electromagnetic free bulging process is developed with the commercial finite element code ABAQUS/Explicit. The magnetic pressure calculated is applied as a loading condition via a user subroutine VDLOAD to model the high rate deformation of the work piece. Results concerning magnetic fields and plastic deformation of the work piece are presented. A good agreement is found between the numerical results from finite difference method and FEMM4.0. The finite element predictions are also in agreement with the experimental results.