Gremzdy Polskie, is a village in the administrative district of Gmina Krasnopol, within Sejny County, Podlaskie Voivodeship, in north-eastern Poland. It lies approximately 4 kilometres (2 mi) south of Krasnopol, 12 km (7 mi) west of Sejny, and 108 km (67 mi) north of the regional capital Białystok.