Two new species, Tetralicia sawyeri n. sp. and Aleuroplatus martini n. sp. found on avocado (Persea americana) trees in Peru are described and illustrated. The synonymy of Aleuropleurocelus Drews & Sampson, 1956 n. syn. with Tetralicia Harrison, 1917 is proposed and a review and an illustrated key to the 39 species of Tetralicia of the world based on characteristics of the puparia is provided. Thirty-three species are transferred from Aleuropleurocelus to Tetralicia. A lectotype is designated for Aleurodes abnormis Quaintance, 1900. Aleurotrachelus gratiosus Bondar, 1923 is transferred to the genus Aleuroplatus. Paracarniella mexicana (Distant) and Adparaproba cf. yungensis Carvalho (Hemiptera: Miridae) are recorded for the first time in Peru and are important predators of both new whitefly species. Other natural enemies of these whiteflies found in the study include predatory species: Nephaspis isabelae Gonzlez (Coccinellidae), Chrysoperla sp., Ceraeochrysa sp. (Chrysopidae) and Gasteracantha cancriformis L. (Araneidae) as well as Encarsia brasiliensis Hempel, a common whitefly parasitoid in the Neotropics. A key to the New World genera of whiteflies similar to Aleuroplatus and Tetralicia is provided.