Since corporate scandals in the last decade, corporate governance system has been highly focused, besides, now under knowledge-based economy the innovation ability of enterprises is a key factor to enterprise's success. However, how the board of directors effects firms' innovation ability has been rarely explored. Generally, it is thought that corporate governance could provide functions to bring stakeholders the greatest profit and have better operating efficiency. Precious study proved that corporate governance is related to corporate performance. This study discusses the relationship between board of directors and the firm's innovation ability, including size of board directors, proportion of shareholding and traits of board of directors. By using patent counts as an index to measure a firm's innovation ability, this study examined 255 public listed electronic firms in Taiwan by using unbalanced 5 year panel data. This study adopts one way fixed effect model to evaluate parameters of model, and use F-test to examine the explanatory power of a model. Finally, this study shows how the corporate governance system affects firms' innovation ability, and provides suggestion that how corporate governance system, board directors and other traits are effective in firms innovation ability.