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), X1 represents a fluorine atom X2, X3, and X4 are each a hydrogen atom R1 represents a hydrogen atom or a C1-C3 alkyl group R2 is a hydrogen atom Y1 and Y5 each independently represent a halogen atom or a C1-C3 haloalkyl group Y2 and Y4 each represent a hydrogen atom and Y3 represents a heptafluoroisopropyl group.