AbstractThe conventional finite‐element method for the analysis of electromagnetic fields excited by the electric current is based on the potentials. However, as the potential is an indirect quantity, the numerical accuracy obtained by those methods is not so high and the fixation of the gauge condition is troublesome.This paper proposes a finite‐element analysis method based on the electric or magnetic field intensity to determine the electromagnetic fields excited by electric current. As the electric or magnetic field intensity is a direct field quantity, the numerical accuracy of this method is better and the problem of the gauge condition does not arise. Moreover, it is shown that this method can be applied not only to the dynamic electromagnetic fields # 0 but also to the static electromagnetic fields ω