Abstract A new spectral estimation method based on the least mean square error of the forward linear prediction of AR model is introduced in this paper. The spectral estimation is obtained by the AR parameters estimated by the conjugate gradient method. The simulation results show that for this algorithm there is no bias in the frequency estimation, and the spectral line splitting is very week and the spectral resolution is high. The performance of spectral estimation. of the new method is similar to that of the Marple algorithm.