Velyki Hai () is a village in Velyki Hayi rural hromada, Ternopil Raion, Ternopil Oblast, Ukraine. It is located on eastern outskirts of Ternopil.
The first written mention of the village could be traced to 1785.
The village has a rich football history, having participated in national competitions. Since 2015, the village has had Football Club Ahron that competes at the AAFU competitions.