For two recently published species of Polianthes, P. alboaustralis E.Solano & Ríos-Gómez and P. cernua Art.Castro, J.G.González & Aarón Rodr., binomials in Agave are proposed: Agave alboaustralis (E.Solano & Ríos-Gómez) Thiede comb. nov. and Agave neocernua Thiede nom. nov.