Chris Eagles gave Wanderers a 19th-minute lead but Craig Noone curled home a free-kick to level the scores.
The point keeps Bolton in the top six ahead of the final round of fixtures, and victory over Blackpool next weekend should be enough to claim a play-off spot, barring a big victory for Nottingham Forest against Leicester.
"It was a great point for us," said Freedman. "I do not think we did enough to win but we showed the quality in the first half to deserve to get something out of the game.
"We defended well in the last quarter after they equalised and it is a fantastic point and it means our fate is still in our own hands.
"If someone had said when I came in here and we were 17th in the league we would have to win the last game to get in the play-offs we would have taken it."
The former Crystal Palace boss offered warm words to his opposing manager Malky Mackay on his achievements.
"Malky is a good man and he deserves everything he gets.," he added.
"He has done a great job taking the club into the Premier League and I am pleased for him.
"It is Cardiff's day, it is Malky's day, and we were comfortable coming here and giving them the respect they deserved with a guard of honour."