Upwind-linear edge elements, which can eliminate the non-physical oscillation solution, sire presented for 3D moving conductor eddy current problems. This numerical method allows the jump of the normal field component and increases the solution accuracy. The Galekin method is employed in non eddy current domain. This proposed method is used to discretize the formulation that uses the magnetic field intensity H as it variable in the whole solution region. Eddy current problems involving the moving effects are used to valid;lte this technique.