The Browns put together a nearly perfect opening drive, going 75 yards in 11 plays after taking the opening kickoff.
Jacoby Brissett was 5-for-5 for 56 yards, hitting David Njoku twice for 26 yards, Nick Chubb for 14, Harrison Bryant for 14 and Donovan Peoples-Jones for 2.
Brissett ran for a first down on a quarterback sneak on fourth-and-one at the Baltimore 9.
Chubb ended up getting the touchdown on a 2-yard run with 8:23 remaining in the first quarter and has five carries for 18 yards.
Now, Lamar Jackson and the Ravens get an opportunity to answer.