A compositon for exterminating an animal parasite comprising as an active ingredient at least one amide derivative represented by the following Formula (1) has an excellent activity exterminating an animal parasite: In the following Formula (1), X 1 represents a fluorine atom; X 2 , X 3 , and X 4 are each a hydrogen atom; R 1 represents a hydrogen atom or a C1-C3 alkyl group; R 2 is a hydrogen atom; Y 1 and Y 5 each independently represent a halogen atom or a C1-C3 haloalkyl group; Y 2 and Y 4 each represent a hydrogen atom; and Y 3 represents a heptafluoroisopropyl group.