The first part of this paper examines the training needs of college teachers teaching based on career management orientation and circular assessment model. Secondly, based on a multiple linear regression algorithm to construct the teaching training model for college teachers, the least squares method is used to find the optimal solution and mean square error to solve the parameters of the teaching training model. Finally, the situation was compared before and after the model was applied. The results showed that the mean score of academic achievement at the end of the experimental class in experiment group a was 12.2 points higher than that of the control class, and the mean score of academic achievement at the end of the experimental class in experiment group b was 11.1 points higher than that of the control class. This shows that teaching training for college teachers can improve teachers’ teaching abilities and thus improve teaching performance.