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Compare LM algorithm in reference to the iteration because of slow convergence speed,low convergence precision,poor stability,easy to get bad data influence each other about the Weighted Least Squares. This paper introduces the LM algorithm of based on Weighted Least Squares. The algorithm is applied to Brillouin scattering spectra information processing. The LM algorithm is the improvement algorithm of the Weighted Least Squares.This paper expounds the principle of Weighted Least Squares and LM algorithm . That introduces the LM algorithm of parameters adjustment method and its convergence judgement basis . Finally,the paper gives corresponding simulation results and analysis according to the examples . The LM algorithm has better convergence and stability comparing with the traditional Weighted Least Squares. The LM algorithm has rapid convergence and higher precision and saves time for measurement influence Brillouin scattering parameters.