Givens caught nine passes and one touchdown his rookie year for the New England Patriots in 2002, and improved in each of the next two seasons. He posted 34 catches and led his team with six touchdowns in 2003 and 56 catches in 2004 despite scoring just three times. His best performances in his career came in the postseason. Beginning with the 2003 AFC Championship Game against the Indianapolis Colts, Givens scored at least one touchdown the Patriots' next seven playoff games, including both Super Bowl XXXVIII and Super Bowl XXXIX. In 2005, Givens caught a career-high 59 passes and was the Patriots' number two receiver for the second year in a row.
Givens was the Patriots' record holder in postseason touchdown receptions until 2015, before being surpassed by Rob Gronkowski who scored his eighth playoff touchdown against the Kansas City Chiefs in the Divisional Round of the NFL playoffs on January 20, 2016, and has the second-longest streak of consecutive post-season games with a touchdown reception, with seven.
Givens signed a 5-year deal worth $24 million with the Tennessee Titans on March 14, 2006. His first season with the Titans ended prematurely in Week 10, after he tore his anterior cruciate ligament. He also missed the entire 2007 season. On February 27, 2008, he was released by the Titans. In 2009 Givens sued the Titans for $25 Million claiming that his ACL tear was due to the Titans doctors failing to adequetly test his knee, his lawsuit was dismissed in 2010.