While correcting grammar is an essential part of any English grammar translation, the issue of incorrect combination sequences persists. When it comes to English grammar translation work, the self-directed translation mode is unable to fix the issue of incorrect interpretation and cannot fix the grammatical correction. So, to examine grammatical error correction through bilingual thinking, this paper suggests an intelligent algorithm. To start with, English grammar is explained using translation theory, and indicators are split based on the needs of grammar mistake correction in order to decrease the interference factor’s grammar correction. After that, the English grammar error correction system is designed according to translation theory, and the results of the analysis are synthesised. MATLAB simulation shows that the syntax error correction accuracy of the intelligent algorithm pair is certain in the case of a certain interpretation standard Compared to the self-translation option, the grammatical correction scheme is better.