The win was the fourth in a row for the first-place Patriots (6-2), who lead Miami (4-2) in the AFC East.
For the Browns, Tim Couch threw for just 40 yards before he was knocked being knocked out of the game in the second quarter, and Kelly Holcomb passed for only 115.
The Browns (3-5) had won seven of their last eight road games, dating back to last season, but mustered very little offense against the Patriots and lost for the second straight week to a former coach.
Last week, it was Marty Schottenheimer of San Diego.
Despite a lengthy injury list that includes defensive starters Rosevelt Colvin, Ted Johnson, and Ted Washington, the Patriots have won six of their last seven after a season-opening 31-0 loss at Buffalo.
Celebrity Breakups and divorces of 2014 [PHOTOS]