UPS also says it will be Edwards' primary sponsor for the Sprint Cup Series race at Kentucky.
The shift leaves Roush Fenway Racing in search of two primary sponsors for its 2012 Sprint Cup program. The team has not yet announced sponsorship for championship contender Matt Kenseth.
The team has announced sponsorship for Greg Biffle, and is steadily putting together its funding package for Sprint Cup Series points leader Edwards.
UPS says it will remain an official sponsor of NASCAR for a 13th season, and continue its hospitality program at select events.