Debesay (ደበሳይ) is an Eritrean surname. Notable people with the surname include:

Ferekalsi Debesay (born 1986), Eritrean cyclist Mekseb Debesay (born 1991), Eritrean cyclist, brother of Ferekalsi Mossana Debesai (born 1993), Eritrean cyclist Yakob Debesay (born 1999), Eritrean cyclist