The modified compressive sampling matching pursuit(MCSMP) algorithm is proposed to solve the deficiency of the reconstruction of power quality disturbance signal based on compressive sampling matching pursuit(CoSaMP) algorithm. In the selection stage of the candidate sets, the MCSMP adopts the fuzzy threshold method instead of the fixed number compared with the CoSaMP, and uses the change of the correlation between the adjacent iterative sensing matrix and the residual error as the stop condition, which reduces the burden for the clipping of the backtrace process and the unnecessary iterations, and improves the efficiency of the algorithm. Simulation results show that: MCSMP algorithm is better than CoSaMP algorithm both in reconstruction performance and reconstruction time.