If you live in a rural area, there are several natural predators with digging habits that may catch and kill moles. Foxes, coyotes, badgers, weasels, and fishers are all known hunters of moles, so don't be upset if you see one of these creatures digging in your mole-infested lawn. Some raptor birds, especially the red-tailed hawk, may also occasionally catch a mole that strays above ground. And some species of domestic dog, such as terriers, may be adept at digging holes and catching moles.