The quality of education plays an important role in determining the level of human resources as well as enhancing national competitiveness. One of the most decisional factors in the mission of the country management agency, governing system, and every school is maintaining an appropriate standard of high school education. The study objective Identify the necessity and feasibility of the process of assessing the quality of high school education. The research used questionnaires designed on Google Forms and a combined online and face-to-face survey collected 120 subjects who are education administrators and teachers (at Xuan Giang high school, Hanoi; Chu Van An high school, Hanoi; Le Quy Don high school, Hanoi; and some schools in Thanh Hoa province, Tuyen Quang province; Thai Nguyen province; Dong Nai province, Da Nang city, and Vinh city), from February 2020 to November 2021. In addition, in-depth interviews with some educational managers participating in the ETEP program in the period of 2020-2021 were conducted on the content of assessing the quality of high school education. The research results finalized that: According to different perspectives, the summary reveals that the majority agreed with the two types of assessing approaches with the high school's teaching value. Furthermore, many educators believe that if schools seriously implement the evaluation process, continuously improve the lesson to meet the requirements, the quality of high school education will be upgraded.