English ditransitive construction and dative alteration construction is a structure that English learners are bound to encounter on their way of learning. This paper finds that researchers nowadays mainly adopt the experimental method, corpus research method and experimental method combined with corpus research method to study the acquisition of this structure, as well as the factors affecting the acquisition of this structure are native language, second language level and language input. However, there are still certain problems in the current research such as, lack of comparison of acquisition of different native speakers, and insignificant differences in the level of variables.