Due to the continuous improvement of Internet technology, the number of Internet users in the whole world has been increasing rapidly. It was estimated that there were 1.2 billion Internet users in 2013, thus making Internet banking a popular activity, too. In this study, the Diffusion of Innovations Theory proposed by Rogers (1983) and Technology Acceptance Model (TAM) will be uses as a framework, based on which three variables, namely financial costs , information quality and computer self-efficacy, will be added in. Hopefully, in this way, this paper can design a new and better hybrid of Technology Acceptance Model to study the impact on the behavioral intention of Internet banking users in Taiwan. The results of the study show compatibility, perceived usefulness, perceived ease of use, computer self-efficacy, information quality has a great positive effect upon the behavioral intention to use the internet banking; and perceived financial cost has a great negative effect upon the behavioral intention. Key Words: Internet Banking, financial costs, Diffusion of Innovation Theory, Computer Self-Efficacy, Information quality.