The 52-year-old, who steered the U.S. to the second round at this year's World Cup finals in South Africa, will retain the job until the end of 2014 after agreeing to a four-year contract extension.
Monday's announcement puts an end to the widespread rumors linking Bradley with the vacant position at English Premier League club Aston Villa.
Prior to Brazil's 2-0 win over the U.S. in a friendly earlier this month, Bradley said he would love the challenge of coaching in Europe but also said leading the U.S. toward the 2014 World Cup would be a challenge.
Over the last four years, the U.S. have won 38 games and lost 20 out of a total of 66 under Bradley, whose current contract was to expire at the end of December.
(Writing by Mark Lamport-Stokes in Los Angeles; Editing by Greg Stutchbury)