Mauro Icardi put the Nerazzurri ahead on 73 minutes only for Arturo Vidal to equalize two minutes later to salvage a point for the Old Lady.
Speaking to Sky Italia after the match, Bonucci was full of praise for his team's performance, seeing it as an example of their resilience when going behind and their difficulty to beat.
"It was a very intense game," the 26-year-old Italian said.
"But it must be said that both teams have good defences. It was still a good game that showed that Juventus, once we've gone a goal down, have character and a will to win."
The result leaves both sides on seven points after the opening three games of the Serie A season and Bonucci admitted that Inter are real contenders for the Bianconeri's league crown.
"As for Inter winning the Scudetto, they have a proven coach [Walter Mazzarri] and play with this great compactness and an excellent defence," he continued.
"In addition to that, they have a great counterattack led by [Rodrigo] Palacio. We'd hoped we could take home something more but the draw's okay.
"Now we're thinking about the Champions League. We're going to Copenhagen to bring home the three points."
Juventus open their European campaign away at FCK on Tuesday.