The eddy currents of 3-dimensional conductin medium are calculated using vectorial Boundary element Method with vector variables E and H. Boundary edge basis vectors are used to expand the tangential components of E and H fields. Especially for axisymmetric conductor the computer storage and the computation time are greatly saved with the help of block-circulant boundary meshes. to verify this method eddy currents of conducting sphere are computed and show good agreements with the analytic solutions.