Kayabağı is a village in Daday District, in Kastamonu Province, Türkiye. Kayabağı lies at 880 m above sea level, in the Küre mountains. It has 111 inhabitants. The nearest city is Kastamonu, 23 km to the east. Among the landmarks around are Mahmut Bey Mosque (14.6 km), Germeçtepe Dam (9.8 km) and Nasrullah Mosque (23 km).