Abstract: The transmitting waveform only designed to improve radar detection performance usually has high range sidelobes and peak-to-average power ratio (PAPR), harmful to weak signal detection and practical engineering application. To solve the above problem, an adaptive waveform design method of weighted target signal subspace is proposed. Firstly, the system model to improve the target detection performance utilizing the statistical property of the surrounding colored noise is given. Secondly, the target signal subspace is constructed by the large eigenvectors of the target-colored-noise matrix. The target function to search the weight coefficients on this subspace under the constraints of autocorrelation property and PAPR is built. Then the sequential quadratic programming algorithm is adopted to get the optimal solution. The transmitting waveform optimized by the proposed method can suppress the colored noise effectively, as well as obtain good autocorrelation property and PAPR. The integrated radar performance is improved. The simulation results prove the effectiveness and flexibility of this method.