A boundary element method using a magnetic vector potential for eddy current analysis is described. For three-dimensional problems, tangential and normal components of the vector potential, tangential components of the magnetic flux density and an electric scalar potential on conductor surfaces are chosen as unknown variables. When the approximation that the conductivity of conductor is very large in comparison with the conductivity of air is introduced, unknowns can be reduced. Futhermore, for axisymmetric models the scalar potential can be eliminated from unknown variables. Formulation of the boundary element method using the vector potential and the computation results by the proposed method are presented. © 1990, IEEE. All rights reserved.