This study was conducted based on Davis's extended technology acceptance model (TAM) (1989) and survey data of 486 petroleum and liquefied gas enterprises in Vietnam on their intention to apply using a total quality management (TQM) system. Research results show that factors such as (1) Perception of the effectiveness of TQM; (2) Perception of the effectiveness of the convenience in using TQM; and (3) Perception of the effectiveness of TQM compared to the old system which has a positive impact on the intention to apply the total quality management system in petroleum and liquefied petroleum gas enterprises in Vietnam. Besides, the perception of decision-makers on issues related to quality management in these enterprises also has a direct influence on the perception of the TQM usability and indirect effect of the intention to use TQM application in these enterprises.