The fault signal of rolling bearing is non-stationary and non-Gaussian. Many components mixed and the complex transmission path make the fault signal drowned in the noise, especially in the early stage of failure, the weak fault signal is extracted more difficult because of the interference of noise. To solve the problem of rolling element bearing fault signal denoising in the context of non-Gaussian noise, a new fault diagnosis technology based on correntropy envelope spectrum analysis was proposed. Firstly, the vibration signal of rolling bearing is denoised by using correntropy method, and then the denoised signal is processed by using envelope analysis method, so as to obtain the characteristic frequency of bearing fault. Finally, by comparing the correntropy envelope spectrum with the envelope spectrum of the traditional band-pass filter, it is verified that the fault diagnosis technology of rolling bearing based on the correntropy envelope analysis has a better denoising effect in the non-Gaussian noise environment, and overcomes the problem of filter center frequency selection existing in the traditional band-pass filter noise reduction, and can accurately extract the fault characteristic frequency of rolling bearing.