Along with the rapid development of information technology, cloud computing has brought many benefits to users in handling work via the internet, especially in the field of accounting. However, Vietnamese enterprises are still at early stage of cloud computing accounting implementation. The purpose of this study was to apply the Technology Acceptance Model (TAM) in the applications of cloud computing technology in accounting in Vietnamese enterprises. Data was collected through a Structured questionnaire from 112 accountants and managers in Vietnamese enterprises through purposive method. After collecting, the data is synthesized by excel file, processed by SPSS 20 software with descriptive statistics and multiple regression analysis. The research model was established with 4 factors effecting the intention to use cloud-based accounting software: (1) Perceived usefulness, (2) Perceived ease of use, (3) Perceived convenience, (4) Perceived safety and privacy. The result indicates that perceived usefulness and perceived ease of use had positive impacts on the enterprises’ intentions to use cloud-based accounting software. Additionally, the study found a positive relationship between perceived convenience and perceived ease of use on perceived usefulness; perceived convenience also had a positive impact on perceived ease of use. However, perceived safety and privacy did not significantly affect the intention of cloud-based accounting software use.