Leeds Metropolitan University has sponsored the tournament for the past six seasons.
Tetley was previously title sponsor of the league competition, the Super League, between 2000 and 2004.
It also has commercial partnerships with individual rugby league clubs, such as Leeds Rhinos and Wakefield Trinity Wildcats.
For the 2013 and 2014 seasons, the tournament will be known as The Tetley's Challenge Cup.
Carlsberg-owned Tetley is using the sponsorship to "reinvigorate" the brand, which is synonymous with its Yorkshire roots.
Tetley's sponsorship of rugby league has been a central plank of its marketing over the years. It also uses pitch-side hoardings as advertising channels.
The brewer will promote the sponsorship with on-pack promotions and other marketing initiatives, in a drive to broaden the appeal of the brand.
The Rugby Football League (RFL) is currently looking for a new Super League sponsor after it agreed to end its deal with the Stobart Group at the end of the 2012 season. Tetley has ruled out taking over this sponsorship.Follow @johnreynolds10