Babaçay is a village in Ayancık District, in Sinop Province, Türkiye. Babaçay lies at 336 m above sea level, in the Küre mountains. It has 413 inhabitants. The nearest city is Boyabat, 46 km to the southeast. Beaches nearby: Ayancık Köyü (10 km), Ayancık (10 km), Ali Köyü (10 km). Among the landmarks around are Erfelek Dam (14.3 km). Among the natural features are Tatlıca Waterfalls (14.7 km).