Electromagnetic forming (EFM) is one of the sheet metal forming methods which uses electromagnetic force to form metallic parts. The work piece is formed by the body forces (Lorentz forces) that results from a pulsed magnetic field created by an electic coil. In this method, an intensive and transient magnetic field is used to push sheets into the die cavity.However, there are many restrictions for electromagnetic forming, for example complicated shapes cannot be produced by this method and the work piece should have good electrical conductivity. Therefore only metalic parts can be formed, such as aluminum, copper, silver, brass and steel with simple shapes. In this study governing equations of electromagnetic field and structural filed were considered and solved as uncopled problems.In this thesis, at first governing equations of tube compression were derived from Maxwell equations. Magnetic field, eddy current, electromagnetic force density, and magnetic pressure in the tube were calculated. The finite difference method was employed to solve these governing equations. The pressure acting on the tube due to the Lorentz forces was estimated neglecting the influence of the tube velocity on the magnetic field. Then this pressure was considered as a load in the mechanical problem. Numerical simulation of the mechanical problem was performed with the commercial finite element code ABAQUS/Explicit. The magnetic pressure distribution was introduced in ABAQUS/Explicit to obtain mechanical displacement, velocity, and thickness distributions. Because electromagnetic forming method is performed with high velocity, so the property of material cannot be estimated by conventional equations in plasticity thus equations which consider high strain rate should be used. The best formula, which could estimate the behavior of material in high strain rate with work hardening, was Johnson- Cook equation. The material used in simulation was AA 6061- T6 and its appropriate parameters for Johnson-Cook equation were determined from available experiments. After getting results from ABAQUS/Explicit, these had to be validated with experimental results. Displacement of middle of tube and thickness obtained by simulation were compared with experimental data of other references. There was also an agreement between numerical results gained from governing equations in tube compression and ANSYS software that proves validity of the results. The ANSYS results that were used in our validation were obtained from other references. In addition, there was a good agreement between experimental thickness of the bead center and also its displacement with corresponding values predicted by numerical method. Key words: Electromagnetic forming, Electromagnetic pressure, finite difference method, ABAQUS/Explicit