Orthogonal Frequency Division Multiplexing (OFDM) suffers from a high Peak to Average Power Ratio (PAPR). Tone Reservation (TR) technology is considered as one of the most promising methods because of no additional distortion, no side information, and low implementation cost. However, in all PAPR reduction schemes, determining the optimal target clipping level is difficult. In this paper, the authors consider Adaptive Amplitude Least Squares Approximation Tone Reservation (AALSA-TR) algorithm. Adjust adaptive optimal convergence factor for initial clipping threshold. That is results an approximately PAPR reduction performance with a low computational complexity.