Training pedagogical competency for students is an important activity, a specific feature of vocational training in the training program, distinguishing teacher training from training in other majors. The purpose of training pedagogical competency activities is to form competency, theoretical and practical competencies for pedagogical students - future teachers. For students majoring in primary education, vocational training is even more important because, in the future, these are the teachers who will participate in the process of educating young children. Therefore, it is necessary to clarify the content, skills, and methods in the process of pedagogical competency training for students majoring in primary education from a theoretical perspective. Because this is the basis for universities to design appropriate content and training programs. Based on researching domestic and foreign documents; Vietnam’s legal documents; this study focuses on analysis, comparison, and evaluation to clarify the following contents: (i) Training objectives; (ii) Content of the training program; (iii) Methods and forms of training organization; (iv) Training force, cooperation between universities and primary schools; (v) Evaluate training results against output standards; (vi) Conditions and facilities for training. Clarifying theoretical issues helps universities have a basis for applying them to their future training process.