WestJet officials confirmed via Twitter that no one was injured on flight WS588.
An eyewitness on another plane that landed at about 2:45 pm saw the plane landing.
"We were taxiing out to disembark, and the wife and I were looking out the window, and we saw a WestJet flight landing and he just wasn't stopping, and kind of skidded right off the tarmac into the grass," Joe Marci told CBC.
"And it was very, very odd, and we looked over and said. 'Did that really just happen?'"
All guests and crew were reported safe and were able to exit the plane.
Photos posted earlier to social media showed firefighters attending to the scene.
Transportation Safety Board investigators are en route