The Blues got their campaign off to a winning start on Monday night with a 3-1 victory away to newcomers Burnley.
While claiming that it will be difficult for Chelsea to be crowned champions this term, Terry was pleased that his side came out of their opening fixture with three points.
"We're hoping to win the Premier League - that's our target this season," he is quoted as saying by Goal.com. "It's going to be very tough.
"We've seen some quality play over the weekend from many teams but it was important we picked up three points and now we move on to the next one."
Chelsea play their first home game of the season on Saturday when Leicester City visit Stamford Bridge.