In order to reduce the influence of oceanic turbulence on link performance of underwater optical communication system, an optical soliton is used to underwater optical communication. On-off key modulation is used in the underwater communication system. We use the Lognormal channel model that describes the weak oceanic turbulence to deduce the specific expression of the oceanic scintillation and the communication bit error rate expression containing the form shape factor and scintillation, analyze and compare communication bit error rates of solitonic, rectangular, Gaussian pulses under different turbulence intensities and oceanic turbulence parameters in pulse time domain. The results show that the bit error rate of the solitonic pulses is lower than that of the Gaussian and rectangular pulses at least 3 orders of magnitude with the change of the turbulence intensity when the signal-noise ratio is 5 dB. The aperture diamiter and the ratio of oceanic turbulences induced by temperature and salinity are sensitive factors in the underwater communication. Under different influencing factors of oceanic turbulence, the soliton pulses have better anti-interference ability and lower bit error rate than Gaussian and rectangular pulses. The broadening of the soliton pulses is smaller than that of the Gaussian and the rectangular pulses, but as the distance increases, three pulses broadening tends to be consistent. The simulation results verify the advantages of the solitonic pulse for underwater communication, and could provide the theoretical reference for further research.