Tunnell remained with the Giants for a total of 11 years from 1948 to 1958. During that time, he was selected as a first-team All-Pro six times, played in eight Pro Bowls, and set franchise records that still stand with 74 intercepted passes for 1,240 interception return yards and four touchdowns (tied with Dick Lynch and Jason Sehorn). He also recovered 15 fumbles and still holds franchise records with 257 punt returns for 2,206 yards and five touchdowns, which was good for an average of 8.6 yards per return. His total of 3,421 return yards is also a franchise record.