This paper deals with a boundary element method using edge elements for 3-D eddy current problems. In this method the eddy current region is formulated only by means of the electric field intensity E, while the free space only by the magnetic field intensity H. In each region, both unknown variables are independently expressed from each other. By both physical consideration and the appropriate boundary element discretization, these physical quantities can be connected on the interface with ease. To verify this approach some numerical results obtained by the proposed method are compared with measured ones.