Ayers told Giants.com: "This is a tremendous opportunity for me, coming to a great organization like this. They hate losing and they're always about getting better and preparing and I've heard nothing but good things about the general manager and the owners, the coaches.
"They're a blue-collar organisation, and I'm looking forward to being part of that. I left the Broncos, who were a good organisation, and I feel like I'm going to just as good or better of an organisation.
The 28-year-old was selected in the first round of the 2009 Draft by the Broncos, and had a career-best 5.5 sacks last season.