In the pre-stack CMP gathers,the events of seismic reflection approximate a hyperbola.After a partial NMO correction,the seismic events approximate parabola.When the gathers miss some seismic traces,parabolic Radon transform algorithm can be used by the iterative to reconstruct and recover the missing seismic traces.Based on the basic principle of parabolic Radon transform,the authors put forward the calculation method of weighted parabolic Radon transform for the reconstruction and recovery of missing pre-stack seismic traces,and improved and optimized the weighted coefficients in the data domain.Test results of model data and real data show that the improved calculation method still has a robust reconstruction result even under the strong random noise,and the method does not produce false events,compared with the calculation method of the original weighted parabolic Radon transform,the method has the advantage of suppressing random noise,this is,the advantage of noise immunity.In addition,the calculation accuracy is also improved,and the algorithm has the characteristics of steadiness and high efficiency.