Antillean Palm Swift is resident in the Greater Antillean islands, where it occurs throughout Cuba, the Isle of Pines, Jamaica, and Hispaniola, including associated islands such as Saona, Beata, and Île-à-Vache (Raffaele et al. 1998, Garrido and Kirkconnell 2000, Keith et al. 2003).
Antillean Palm-Swift primarily occurs in the lowlands. Keith et al. (2003) give the upper elevational limit on Hispaniola as only 450 m, although Raffaele et al. (1998) report that it occurs there up to 1700 m. On Jamaica, palm-swifts are reported to forage at low elevations "in the first part of the day", but to ascend up to 1200 m later "as the day warms up" (Lack 1976).
Antillean Palm-Swift is a vagrant to Key West, Florida (Roberston and Woolfenden 1992) and a rare visitor (or very local resident?; see Kirwan et al. 2002) to Puerto Rico (Kepler 1971, eBird data).