Grant attended the University of Tennessee, and played for the Tennessee Volunteers football team from 1997 to 2000. He was selected as a consensus first-team All-American in 1999 after he tied for the NCAA lead with nine interceptions for 167 return yards. He finished the 1999 season with 69 tackles and eight pass breakups. He had two picks in three different games and earned SEC Defensive Player of the week after intercepting three passes versus Auburn. His leaping interception in UT's overtime win over Florida in 1998 was a crucial play in the Vols' march to the BCS National Championship. Grant left Tennessee and declared for the NFL Draft following his junior year.
Grant was picked up in free agency by the Seattle Seahawks in 2007. He was cut March 15, 2010 mostly because of his large contract. He finished his tenure in Seattle with 224 tackles, eight interceptions, and one fumble recovery.
Grant signed with the New York Giants on April 1, 2010. After one season with the Giants, he became an unrestricted free agent, however he re-signed with the Giants on August 16, 2011 to a one-year, $4 million contract. He won a Super Bowl ring in Super Bowl XLVI. Following the season, he became an unrestricted free agent.
On August 7, 2013, Grant retired as a member of the New York Giants.