The present invention provides an arthropod pests control composition comprising, as active ingredients, 4-oxo-4-[(2-phenylethyl)amino]-butyric acid and a compound of formula (A) a method of controlling arthropod pests, which comprises applying effective amounts of 4-oxo-4-[(2-phenylethyl)amino]-butyric acid and a compound of formula (A) to a plant or growing site of plant and so on.