The Harris County Precinct 4 Constable's Office said the arrests were made following a traffic stop in the 21900 block of Gosling Road.
Deputies said the two men were placed into custody for aggravated robbery. The two are accused of robbing the worker in a nearby neighborhood in the 21800 block of Mount Hunt Drive.
Both suspects were found to have open warrants, Pct. 4 added.
Authorities said a stolen postal key was recovered during the arrest.