Malignant mesothelioma cases are rare and have a long incubation period, making the disease a difficult subject to clinically research. Animal models of malignant mesothelioma are crucial for experimental research and elucidating the pathogenesis of malignant mesothelioma. Common animal models include spontaneous, inducible, transplantable, and genetically engineered models, but the applicability of different animal models varies. This article reviews studies related to the establishment of animal models of malignant mesothelioma published in the past 10 years. Recent progress made in the establishment of four animal models of malignant mesothelioma is summarized from three aspects: modeling method, modeling result, and model advantages and disadvantages. This review summarizes and analyzes the current progress made in the establishment of animal models of malignant mesothelioma and thus provides a reference for basic malignant mesothelioma research using animal models.