Bugaj [ˈbuɡai̯] is a village in the administrative district of Gmina Działoszyn, within Pajęczno County, Łódź Voivodeship, in central Poland. It lies approximately 5 kilometres (3 mi) north-west of Działoszyn, 12 km (7 mi) west of Pajęczno, and 84 km (52 mi) south-west of the regional capital Łódź.