"I've got to impress the manager and the coaching staff to make sure I'm in that starting eleven for the first game of the season.
"It's fine having a good season, but I have to do it again and show people I wasn't just a one season wonder."
Lawwell, the Celtic chief executive, told the club's website: "This is great news.
"It's well known that Scott loves playing for Celtic and has a great affection for the club.
"He also performed brilliantly last season."
And Lawwell said he was delighted to secure McDonald's signature.
"Our priority is to keep our best players and the board is delighted to support Gordon in his plans for the future by securing Scott on this long-term agreement," he added.
"We will continue to do all we can to ensure that Celtic stays at the top of Scottish football."
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