The 2.06 m wide and 110 kg Tolliver, which can be used on the positions of center and power forward, played in the U.S. for the Creighton University ( Creighton University) and Iowa Energy ( NBA D- League). He was also in the training camp of the Cleveland Cavaliers, where he participated in three preseason games before he was released.
During the 2007/ 08 season he moved to the German Basketball Bundesliga for the polar bears Bremerhaven. In 20 games he made BBL average 14.3 points and 7.3 rebounds for the Polar Bears.
On 23 July 2008 Tolliver got a contract in the NBA with the San Antonio Spurs, after he has already played for the Summer League teams the Spurs in the NBA tournament in Las Vegas and the Rocky Mountain Revue in Salt Lake City. After 11 games in which he scored an average of 3.8 points for the Spurs, he was loaned to the Austin Toros of the D- League. After Anthony Tolliver played among others at the New Orleans Hornets, Portland Trail Blazers and the Golden State Warriors After two years with the Minnesota Timberwolves, where Tolliver has established itself in the player rotation, he moved in summer 2012 to the Atlanta Hawks. Against the Philadelphia 76ers, he had to be in the spring of 2013 ' Career High' with 19 points. Prior to the 2013/14 season he was committed as a free agent by the Charlotte Bobcats.