The decision was taken after talks between the police and the Premier League on Thursday.
Following the riots that have engulfed the capital during the week and damage to the area around Tottenham High Road, the police felt they could not guarantee the safety of supporters heading to White Hart Lane.
The Premier League remains confident though that the other games, including those in London, will still go ahead.
Speaking at the official launch of the new Premier League season, Dawson admits it is frustrating for the game to be called off but has fully backed the decision.
"It is frustrating as we worked for six weeks trying to get fit and unfortunately the first day of the season isn't going to be happening for us," said the 27-year-old.
"But the most important thing is the safety of all the people involved, the police won't have called it off too lightly."
Chelsea defender John Terry, who was also present at the launch, echoed the sentiments of Dawson.
"A lot of kids will have been at the game and the safety of the public is the most important thing so It was the right thing to do."