How to File an Asbestos Lawsuit Every asbestos case is unique However, there are common elements to a successful lawsuit. This includes proof of victim's injuries as well as proof of exposure. Asbestos claims should be filed according to the laws of the state (also known as statutes of limitation) https://telegra.ph/A-Proficient-Rant-About-Asbestos-Mesothelioma-Cancer-06-14