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Aiming at the problem that additive noise in speech signal makes the performance of speaker recognition system degradate when using MFCC. The introduction of traditional spectral subtraction achieved some effect on enhancing noise immunity of MFCC,but the improvement is limited. To get a better result,a novel algorithm of spectral subtract is proposed in this paper. The concept of spectral entropy is introduced based on the spectral subtraction,the noise of each flame is estimated more accurately according to its spectral entropy and subtracted to get better denoising effect. Experimental results show that when there is additive noise in the test speech,compared with traditional spectral subtraction,the speaker recognition system of novel algorithm has better noise immunity and robustness.