When the 2BMFJ type stubble field no-tillage straw mulching precision seeder is operated in a wide range, the multi-stage lateral movement of corn straw would be retained, which would affect the straw cleaning rate of the planting interval, resulting in the working quality and operating efficiency of the machine and other issues. Through the analysis of the single-stage throwing movement of corn straw, the corn straw lateral movement rectifier was designed, and the mathematical model of the rectifier structure parameters was established. The key structural parameters of operation performance, such as the entry angle, the angle of rectifier package and the radius of rectifier, were proved out, thus the range of key structural parameters was determined. The quadratic regression orthogonal rotation center combination test method was adopted. On the test platform of rectifier for multi-stage lateral movement of corn straws built in the EDEM software, the virtual simulation parameter combination optimization test was carried out with the angle of entry, the angle of rectifier package and the radius of rectifier as the test factors, and the rate of cleaning straw and the consistency of cleaning straw between rows as the performance evaluation indexes. The results showed that each factor had a significant impact on the performance evaluation index. The primary and secondary order of impact on the rate of straw cleaning was from large to small as the angle of rectifier package, the radius of rectifier, and the angle of entry;the primary and secondary order of impact on consistency of straw cleaning from large to small was the angle of entry, the radius of rectifier, and the angle of rectifier package. The interaction between the factors had a significant impact on the rate of straw cleaning, and had no significant impact on the consistency of straw cleaning between the rows;the optimal parameter combination was an entry angle of 61°, a rectification angle of 104°, and a rectifying radius of 424mm. The rate of straw cleaning was 93%, and the consistency of straw cleaning between rows was 93.5%. According to the virtual simulation optimization parameter combination, the rectifier processing and field verification test were carried out. The rate of straw cleaning was 93.5%, and the consistency of straw cleaning between the rows was 93.7%, which was basically consistent with the results of virtual simulation test.