To address the issue of poor robustness and slow convergence speed in the calculation of optical flow under the influence of noise,a fast robust method for the optical flow field estimation in noisy environment is proposed.Based on the estimation method of optical flow in noisy environment,a penalty factor is introduced to enhance the robustness of the calculation of optical flow,a momentum factor is added to the iterative formula of optical flow calculation to shorten the convergence time of optical flow calculation,and then the calculation of the optical flow field is accelerated.The Euler-Lagrange equation is solved by minimizing the energy function of optical flow on the basis of the variation principle.Finally,the velocity field is obtained by using the iterative method.Simulation results show that,as compared to the M algorithm and the ML algorithm,the proposed algorithm can enhance the robustness of the optical flow considerably,shorten the convergence time of optical flow calculation and speed up the calculation of the optical flow field,after adding two different Gaussian noises to two consecutive frames in the video.