Nonalcoholic steatohepatitis (NASH), a multi-target disease, is becoming a global epidemic. Although several anti-NASH drug candidates are being evaluated in late-stage clinical trials, none have been approved by the FDA to date. Given the global prevalence of the disease, the lack of effective drugs, and the very limited therapeutic efficacy of most of the existing synthetic drugs focusing on a single target, there is an urgent need to continue to develop new therapeutic agents. In contrast, many natural products, including pure compounds and crude extracts, possess hepatoprotective activities. Usually, these natural components are characterized by multi-targeting and low side effects. Therefore, natural products are important resources for the development of new anti- NASH drugs. In this paper, we focus on reviewing the anti-NASH potential, structure, and some of the side effects of natural products based on structural classification. We hope this mini-review will help researchers design and develop new anti-NASH drugs, especially based on the structure of natural products.