Celtic got the better of Rangers 5-1 at Ibrox in the Scottish Premiership last season.
Celtic will head into the match against Rangers at Ibrox on Saturday afternoon as favourites.
The Hoops have the better team and have better players, with stars such as Scott Sinclair and Moussa Dembele.
Kilmarnock striker Boyd believes that Rangers will find it tough to pick up all three points from the Old Firm derby against Celtic.
The 34-year-old Scotsman, though, does not expect the Hoops to find it as easy as it was for them last season.
Boyd had two different spells at Rangers, first from 2006 until 2010 and then in 2014-15.
“I don’t expect it to be that, but I think it will be tighter but it will be a tough game for Rangers,” Boyd told BBC Sport.