Revis became the most-sought player during free agency following his release by the Tampa Bay Buccaneers, and signed a two-year deal with the Patriots after a short time on the open market.
"Here's a young man who had his choice of going to any team in the NFL he wanted, and he came to us. He could have gotten considerable more money going to other teams, but he still came to us," Kraft told reporters.
"I think he knows we're committed to winning as an organisation, I really believe his priority is trying to win."
The Patriots lost in the AFC championship game for the second season in a row in their 2013 campaign.