Kean struck in victory over Finland last week.
And Bonucci said of his Juve teammate: “Kean has grown a lot and has made great strides forward.
“I hope he can handle all the pressure on him right now. He was right to stay with us at Juventus.
“He talked to Giorgio [Chiellini] and I talked to him too. When you train with Ronaldo, Dybala and Douglas Costa, you can only learn and grow.
“I'm glad he listened to my advice and now he's making great strides. Now he must take the pressure off himself and keep doing well.
“He's 18 years old and like all 18-year-olds, he's lacking some minor things away from football, but the important thing is that these things are small.
“Lately he's learned to form part of a group, how to respect the rules. Now I hope he can overcome the pressure to do well for the national team and Juve."