Ryan's actions did not draw a penalty flag during the game and the touchdown gave the Patriots a 14-7 lead.
The New Jersey native apologized Thursday for his actions.
"First off, I just want to apologize to all the fans and all the viewers who had to witness that," Ryan said, adding that the worst part had been to see how disappointed his mother was after the game.
"I own up to it 100 percent. It's not acceptable. It's not acceptable for me and this team. I want to put it behind me and I want to move on, and focus on Miami, and let people know it won't happen again. That's not who I am."
This was the first career interception for the 22-year-old rookie who was also playing for the first time as an NFL player in his native home state. The Patriots eventually lost to the Jets, 30-27, in overtime.