The bound state wave functions and energy levels of the system of charged fe-rmion and abelian dyon are obtained for the dyon charge Zd dc and the totai angular momentum j≥│q│+1/2. The transition matrix elements of this system in an external electro-magnetic field, are calculated, and corresponding selection rules are obtained. In particular, it is found that the electric dipole transition △j=0 exists, which is different from hydrogen-like atom and violates the parity conservation.