E-books and e-Reading Devices (E-RDs) markets have been enlarged due to the rapid progress of digital technologies. What are the possible factors to increase readers' willingness to use electronic devices? To improve the predictive value of the original TAM model, this study incorporates three additional constructs to form e-Reading Device Acceptance Mode: reading self-efficacy, computer self-efficacy and perceived enjoyment. This model consists of six constructs and 11 research hypotheses. The research questionnaires were distributed in Taiwan, and the research results showed that reading self-efficacy shows positive influences on readers' intention to use the E-RDs. On the contrary, computer self-efficacy does not show positive influences on perceived usefulness or perceived enjoyment. Moreover, the perceived ease of use of E-RDs does not show significant impacts on readers' intention to use the devices. Explanations of the causes and reasons are given in this paper, and the finding of this research may provide useful references and materials for e-book publishers, e-reading device developers, and researchers for further studies.