In the Parikh-Wilczeks semiclassical tunneling framework, the Hawking radiation of particles with electrical and magnetic charges tunneling across the event horizon of black hole is investigated. Taking the Reissner-Nordstrǒm black hole with topological defects and with magnetic charges for an example, the calculation shows that the tunneling process of the outgoing particle is consistent with an underlying unitary theory, and supports Parikh-Wilczeks conclusion. The emission spectrum is no longer precisely thermal.