Abstract：Applying Hamliton—Jacobi method，the tunneling characteristic of the charged black hole with a global monopole is investigated by taking the self-gravitational interaction as well as the energy conserva。tion and charge conservation into account． The radiation spectrum deviates from the purely thermal one and the tunneling probability is related to the change of Bekenstein—Hawking entropy．The result satisfies all underlying unitary theory and gives a correction to the Hawking radiation．Key words：the charged black hole with a global monopole；Hawking radiation；self-gravitation．
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