The first of a planned series of papers revising the Nearctic species of the predaceous diving beetle genus, Agabus Leach, is presented. The genus is defined in the broad sense of Sharp (1882) and Fall (1922). The North American species are divided into species groups and diagnostic characters for group recognition are summarized in a key. Assignment of species to these groups is indicated in a checklist of North American species. The ambiguus-, tristis-, and arcticus-groups are defined, their relationships discussed, and included species revised. The ambiguus-group, which is restricted to North America, contains the species A. ambiguus (Say), A. strigulosis (Crotch), A. erythropterus (Say), A. austinii Sharp, and A. klamathensis sp.nov. The tristis-group, which has a Holarctic distribution, contains two species in North America, A. tristis Aubé and A. leptapsis (LeConte). The Holarctic arcticus-group is represented by A. arcticus (Paykull) and A. anthracinus (Mannerheim) in North America. For each species, patterns of variation are described, the North American distributions mapped, and ecological information summarized.