Abstract: An ocean surface wave spectrum which is used for low frequency ambient noise in deep water is proposed.It explains the mechanism of low frequency ambient noise from the theoretical relation between the spectrum of sound pressure and wave. Combining the surface wave spectrum and local wind speed in deep water, a theoretical expression of low frequency ambient noise is obtained with wave generated noise theory. Simulation results show that wave spectrum is crucial to the intensity and the spectral slope of radiated noise spectrum, and the theoretical noise spectrum could be used to predict the ambient noise in deep water. The predicting results are verified through the experimental data recorded by an ocean bottom seismometer that was deployed in deep water in April 2016. It is observed that the statistical noise levels from the experimental data for frequencies from 1 Hz to 100 Hz are larger than 70 dB, and the low frequency ambient noise spectrum follows the shape of inverted "N", the valley of noise spectrum is at 3-4 Hz, and the noise level is 70 dB. The peak of noise spectrum is at 50 Hz, and the noise level is 92 dB. The correlation parameter is 0.95 between the model spectrum and measured data.