Brzyście [ˈbʐɨɕt͡ɕɛ] is a village in the administrative district of Gmina Gawłuszowice, within Mielec County, Subcarpathian Voivodeship, in south-eastern Poland. It lies approximately 6 kilometres (4 mi) south of Gawłuszowice, 10 km (6 mi) north of Mielec, and 57 km (35 mi) north-west of the regional capital Rzeszów.