In this era of artificial intelligence and information, the transformation and upgrading of enterprises plays a crucial role in their development. This study analyzes the regulatory penalties of listed companies published by the Shenzhen and Shanghai stock exchanges from 1996 to 2017, and explores the relationship between the number of enforcements of these companies and their innovation ability. Existing research literature confirms that board characteristics, including the gender of the CEO and whether the CEO has an overseas background, will have a significant impact on the company’s ability to innovate and the likelihood of corporate penalties. Therefore, this study selects the two moderator variables of the chairman’s gender and whether the chairman has overseas study background. This study uses the To bit model and establishes three hypotheses to verify whether the company’s ability to innovate can significantly affect the number of times they are enforced, whether the chairman’s gender and whether the chairman’s overseas background will have a moderator effect on this relationship. The analysis results confirm these three assumptions.