A well-taken goal from Bonucci levelled the match at 1-1 after Alex Teixeira opened the scoring in the first Champions League match at the Juventus Stadium.
Bonucci told Sky Sport Italia that he believes his side recovered well after a poor start to the match.
He said: "We went on to the pitch a little too timid. However, considering how the game was going, we did well to get back in it.
"When we attacked Shakhtar, we put them under a lot of pressure. Juventus must always seek to take the game to the opponents."
The 25-year-old defender has been at the heart of a Juve defence that is currently enjoying a 45-match unbeaten run in Serie A.