The cumulative error problem is very common in the calculation of load identification. This paper puts forward a new load identification algorithm with numerical iteration in every time step. Firstly,the quasi-static method is used to obtain the initial value of load, then the numerical iteration algorithm is used for correction computation. Simulation results show that the correction algorithm can effectively decrease the divergence caused by the cumulative error and get convergent identification results.Moreover, a multiple-input multiple-output (MIMO) beam model is built to analyze the influence of interval amplification coefficient, interval partition coefficient and accuracy index on identification results.Calculation results indicate that these parameters have a great effect on the efficiency and precision of the algorithm, and improper parameters may even lead to serious divergence. Therefore it is very important to choose appropriate calculation parameters for the numerical correction algorithm.