Gaj Gruszczański (Polish pronunciation: [ˈɡaj ɡruʂˈtʂaj̃skʲi]) is a village in the administrative district of Gmina Radecznica, within Zamość County, Lublin Voivodeship, in eastern Poland. It lies approximately 3 kilometres (2 mi) north-east of Radecznica, 30 km (19 mi) west of Zamość, and 57 km (35 mi) south of the regional capital Lublin.