Abstract
Hawking radiation is obtained from the Reissner-Nordström black hole with a global monopole and the Garfinkle-Horowitz-Strominger black hole falling in the class of the most general spherically symmetric black holes , using only the chiral anomaly near the event horizon and the covariant boundary condition at the event horizon. The approach differs from the anomaly cancellation approach since apart from the covariant boundary condition, the chiral anomaly near the horizon is the only input to derive the Hawking flux.