Howard bolsters an Eagles backfield that includes Josh Adams, who led the team in rushing with 511 yards last season, Wendell Smallwood and Corey Clement.
The draft pick could become a fifth-rounder based on conditions of the trade that was completed Thursday night.
The 24-year-old Howard ran for 935 yards last year, his lowest total in three NFL seasons. But he also tied a career high with nine touchdown runs.
A fifth-round draft pick out of Indiana in 2016, Howard has 13 100-yard rushing games in his career, tied for the third-most in the NFL in that span. He made the Pro Bowl in his first season when he set a Bears rookie record with 1,313 yards rushing.
Howard has rushed for 3,370 yards and 24 touchdowns in his career, and has 72 catches for 568 yards and a TD.