Influenced by the influence of the mother tongue learning method on the English learning method, students under the current university English teaching mode are difficult to make effective English language application in real life. This paper is guided by the migration theory. By guiding students to apply their existing learning methods to English language learning, it improves students’ metacognitive level, which is the main realization method of metacognitive transfer strategy. Meanwhile, on the theoretical basis of metacognitive transfer strategy, the deep learning technique of meta-learning is further proposed. Using meta-learning as a separate learning migration bridge between students and knowledge points in the knowledge point area, the meta-learning network module is constructed to complete the formation of the cognitive migration model based on the meta-learning algorithm. At the same time, the metacognition-based problem solving process is analyzed and the migration-based problem solving process is extended for the difficulties encountered by the students in the stage of the learning migration process. Under the tutelage of the cognitive migration model based on meta-learning algorithm, the students obtained higher mean scores of 2.5 and above on the nine variables of learning effect evaluation, indicating that the model can effectively assist in the enhancement of the teaching effect of college English.