Entry 1 sense Webster, 1913 Conure /(kō̇*nūr")/ · Co·nure · IPA /ˈkɒnjʊə(ɹ)/ 01 n. An American parrakeet of the genus Conurus. Many species are known. See Parrakeet. 1. An American parrakeet of the genus Conurus. Many species are known. See Parrakeet.(Zool.) See: Parrakeet