A source confirmed the rookie deal, which was first reported by ProFootballTalk.com.
The Giants had agreed to deals with all of their seven draft picks by Friday. Second-round pick Rueben Randle, third-round pick Jayron Hosley, fourth-round picks Adrien Robinson and Brandon Mosley, sixth-round pick Matt McCants and seventh-round pick Markus Kuhn also have come to terms, according to coach Tom Coughlin.
Wilson was drafted with the final pick in the first round by the Giants, who need somebody to replace Brandon Jacobs. Jacobs was released during the offseason, then signed by the 49ers.
The Giants will get their first extended look at Wilson during this weekend's rookie camp.
"We're looking at the fact that Brandon is no longer here and we do have to try to balance that out," Coughlin said shortly after the team drafted Wilson in April. "We believe that you do have to have multiple runners or at least two that can effectively take the field at any time, and this young man we thought was one of those that can be a big-play threat."