Seven yellow cards were shown in the Barclays Premier League clash at White Hart Lane, while Manchester United full-back Rafael was sent off in the second half.
"Not at all," Dawson told Sky Sports 1 when asked if the game had been played in the wrong spirit.
"There were two sets of players that gave everything, I wouldn't say it was a dirty game. When they went down to 10 we thought we could go on and win the game but it wasn't to be. We got the clean sheet. When you're a defender you always like to get a clean sheet and credit to them, and to our lads."
Midfielder Luka Modric was disappointed that Spurs could not take all three points.
He added: "The game was very tight and there wasn't much space but we played a good game. We are disappointed, especially when they went to 10 men, that we didn't score. It's a fair result. It's a sign of the times that we're disappointed with a draw against such a big team."
Source: PA
Source: PA