Based on the correlation approach in uniform turbulence, the formula of propeller broadband noise in non-uniform turbulence was deduced to analyze the unsteady noise problem of propeller. For uniform turbulence, the ten-bladed propeller model was used, and the calculated result was compared with the experiments data, which shows a good agreement. For non-uniform turbulence, the results show that the degree of non-uniformity have no effect on the position of the peak in sound spectrum which depends on the blade frequency, but it can change the degree of hump in blade frequency. Finally the effects of skew angle to propeller noise in uniform and non-uniform turbulence were studied，and the results show the skew angle of blade can reduce the noise spectrum of propeller in turbulence.