The characteristic of the intensity noise suppression at the low frequencies of Tisapphire laser by using the optoelectronic feed-forward is theoretically analyzed. It shows that the best gain of the feedback circuit corresponds to the injecting noise. The suppression of intensity noise at low frequencies of Tisapphire laser by optoelectronic control is experimentally investigated, and the intensity noise of laser is suppressed as soon as possible by tuning the gain of the feedback circuit. The amplitude of the intensity noise reduces from 8.7 dB to 1.4 dB, and the maximum noise suppression of 7.3 dB is obtained at 1.125 MHz. It has been demonstrated that selecting the best delay time and feed-forward gain, the intensity noise can be suppressed near the quantum noise level at any sideband frequency.