Denver also waived wide receiver Todd Devoe.
Burton (6-foot-2, 318 pounds) is a rookie defensive tackle who competed with Denver in its training camp this year before he was signed to the Broncos' practice squad on Sept. 3. Burton, who joined the Broncos on May 3 as a college free agent from Temple University, made three tackles (1 solo) for the Broncos in four preseason games (1 start) this season.
Nash (5-foot-10, 220 pounds) is a second-year running back who competed with Denver in its training camp this year before he was signed to the Broncos' practice squad on Sept. 3. Nash, who joined the Broncos as a free agent on Aug. 3 after Tennessee waived him on July 31, played two preseason games with Denver this year and ranked fourth on the team with 72 rushing yards on 14 carries (5.1 avg.) with one touchdown.
Selected by Tennessee in the fifth round (142nd overall) of the 2005 NFL Draft, Nash has played three career regular-season games and posted six rushes for 32 yards (5.3 avg.) along with three receptions for 14 yards (4.7 avg.).
Burton will wear No. 93 and Nash will wear No. 29.