A new spider genus and species from México and Guatemala, Amilaps mayana gen. et sp. nov., is described, distinct from other members of the jumping spider tribe Lapsiini (subfamily Spartaeinae) by its four retromarginal cheliceral teeth and the large sclerite cradling the embolus. It is the first living lapsiine known outside of South America. This tribe has received attention recently for new species and genera in Ecuador and Brazil, but Simon's original four species of Lapsias, described from Venezuela in 1900 and 1901, remain relatively poorly known. Accordingly, new illustrations of Simon's type material are given, and a lectotype is designated for L. cyrboides Simon, 1900. The three forms of females in Simon's material from Colonia Tovar, Aragua, are reviewed and illustrated, and they are a tentatively matched with the three male lectotypes of his species from the same location.