While attending Northwestern High School in Miami, Florida, Morency was a four-year letterman in baseball and a two-year letterman in football, and won All-America honors in both sports. As a senior football runningback, he gained over 1,500 all-purpose yards and scored 15 touchdowns.
Morency attended Oklahoma State University and finished his career with 451 rushing attempts for 2,661 yards (5.9 yards per rush attempt avg.), 23 touchdowns, 11 receptions for 119 yards (10.8 yards per rec. avg.), and returned ten kickoffs for 224 yards (22.4 yards per kick ret. avg.).
Morency was selected in the third round of the 2005 NFL Draft by the Texans. He was the second-string running back behind Domanick Davis for the team in 2005, rushing 46 times for 184 yards and 2 touchdowns. He also returned 20 kicks for 437 yards and caught 10 passes for 87 yards. After the first week of the 2006 NFL season, Morency was traded to the Green Bay Packers for running back Samkon Gado. With the packers for the 2006 year he was their short yardage back. He plays behind Ahman Green. His contract will expire after the 2007 season.