Chinese standard Digital Television Terrestrial Broadcasting(DTTB) signals have become a hot radar emitter due to their remarkable advantages such as high transmitter power, large coverage area, and wide signal bandwidth. However, in consequence of the periodic repeat of signal frame head, it inevitably generates periodic side peaks during ambiguity function analysis, which directly affects the signal detection performance. Therefore, it is essential to suppress side peaks. With the development of the technology, the acceleration of target reconnoitred increases continuously, which makes the acceleration to be an important factor and can not be ignored. Nevertheless, the influences of acceleration have not been considered in traditional side peaks suppression algorithm. In this paper, a new side peaks suppression algorithm based on target acceleration is presented to suppress side peaks caused by DTTB signals periodic repeat. The simulation results show that this method can effectively suppress DTTB signal range and Doppler peaks.