Miami took the lead in the first quarter when Chad Henne hit Daniel Thomas with a 10-yard TD pass with 8:09 left, but the Browns tied the score at 7-7 on a Colt McCoy to Joshua Cribbs 33-yard strike midway through the second period.
The Dolphins regained the lead at 10-7 with less than a minute left in the half on a 23-yard field goal from Dan Carpenter.
Miami has it all over the Browns in the statistical battle so far, with 12 first downs to only 5 for the Browns, and the Dolphins have 234 total yards to 99 for Cleveland.
Henne is 15-of-19 for 191 yards, while McCoy is 5-of-14 for 73 yards and an interception.
Thomas is the leading rusher with 50 yards in 12 carries, while for the Browns Montario Hardesty has 25 yards on six carries.