In recent years, mRNA drugs have shown a great potential for the treatment of genetic diseases and attracted the attention of many researchers. This article has reviewed the advance in the research of mRNA drugs for the treatment of genetic diseases over the past 30 years, including their mechanisms of action and structure design, with a focus on their advantages as alternative therapies such as high specificity, low dosage, and sustained expression. Meanwhile, challenges for the effective delivery and storage methods for the mRNA drugs are discussed, with an aim to provide guidance for subsequent researches.