The 26-year-old Brantley will sign a four-year deal worth $25 million that features an option for a fifth year.
The Indians were eager to lock up Brantley, a key member of last season's turnaround that saw Cleveland make a rare trip to the post-season.
Enjoying their first winning season since 2007, the Indians finished 92-70 and lost in the American League Wild Card game.
Brantley batted .284 with 10 home runs and 73 RBIs last season, his fifth with the Indians.
(Writing by Jahmal Corner in Los Angeles; editing by Sudipto Ganguly)