Three new species of Strongylacidon from north-east Brazil are described: Strongylacidon oxychaetum sp. nov. and Strongylacidon solangeae sp. nov. from Bahia State, and Strongylacidon chelospinata sp. nov. from Fernando de Noronha Archipelago, Pernambuco State. Strongylacidon oxychaetum sp. nov. has thinly encrusting shape with lobate projections, strongyles, oxychaetes and arcuate chelae; S. solangeae sp. nov. is characterized by having massive shape with hispid surface, strongyles and unguiferate chelae; and S. chelospinata sp. nov. present thinly encrusting shape, strongyles, and arcuate isochelae with large spines on the outer edge of the axis. An identification key for the nine valid species of Strongylacidon from the Tropical Western Atlantic is provided. New morphological characters, viz., oxychaetes and spined arcuate isochelae (here termed acanthochelae), are added to the definition of the genus Strongylacidon and of the family Chondropsidae.