In the context of global economic integration, the logistics and supply chain management industry is becoming a spearhead sector driving the development of Vietnam's economy. However, the current growth of this industry is facing difficulties due to a shortage of high-quality human resources in terms of both quantity and skills. The teaching activities of logistics and supply chain management at Vietnamese universities still have many limitations and do not meet the specific needs of developing students' capacity after graduation. This article is based on a survey of the general situation of teaching logistics and supply chain management at Vietnamese universities. In which, the current situation of the teaching staff is still lacking in experience and expertise in the field of logistics and supply chain management. In addition, teaching methods are still quite traditional and do not meet the requirements for interaction, application, practical skills, and creative thinking for students. Through analyzing the factors affecting the teaching process, the article introduces a solution to improve the quality of the teaching staff of logistics and supply chain management based on a competency-based approach.