His professional career began when he was selected out of Syracuse University in the first round of the 1998 NFL draft by the New England Patriots who he won Super Bowl XXXVI with.
Jones was selected 22nd overall by the New England Patriots in the 1998 NFL draft and signed a five-year deal.
Jones is best known for his role on the 2001 Patriots team that won Super Bowl XXXVI.
In the Super Bowl, in the fourth quarter with the St. Louis Rams in a do-or-die situation down 3–17 against the Patriots, Rams quarterback Kurt Warner fumbled on 4th-and-3 next to the goal line, and Tebucky Jones picked up the fumble and raced down the length of the field for what would have been a 97-yard touchdown, but the return was negated by a holding penalty on Patriots linebacker Willie McGinest.
[13][14][15] On August 1, 2008, Jones was arrested at the Mohegan Sun casino in Uncasville, Connecticut.