A new approach is proposed for cross terms suppression for multi-component FM signals in space-time parameter estimation with antenna array . The method utilizes spatial domain information in multi-channel and employs a 2-dimension product filter to reduce cross terms of time-frequency distribution. The filtered TFD(Time-Frequency Distribution) can be applied to estimate DOAs(direction-of-arrival) of FM signals by time-frequency MUSIC(Multiple Signal Classification). Simulation results are presented verifying the efficacy of this method.