The influences of different current densities on the friction coefficients of 6061 aluminum alloy and P20 die steel under dry friction condition were studied by a reciprocating friction machine. Then, the data was processed by software Origin, and a variable friction coefficient model under different current densities was established. Furthermore, the finite element simulation and test verification of the variable friction coefficient model and the constant friction coefficient model were carried out respectively, and the thickness distribution laws of the two models and test verfication after pulse current assisted hot stamping were compared. The results show that when the current density is 2-10 A·mm-2, the friction coefficient gradually decreases with the increasing of current density. Based on the variable friction coefficient model under different current densities, the data fits well, the simulation results and the test verification results are consistent, and the maximum thinning of aluminum alloy sheet is at the fillet of the punch, which verifies the accuracy of the variable friction coefficient model.