Longest NFL winning streaks. The Carolina Panthers defeated the New York Giants 38-35 in Week 14 improve to 14-0 for the first time in franchise history. Only four teams in NFL history have started the season 14-0, including the 1972 Miami Dolphins, 2007 New England Patriots and the 2009 Indianapolis Colts. Longest Streaks. Here’s a look at the longest overall winning streaks (including regular season and the playoffs) in NFL history. The Cleveland Browns, who began in the rival All-America Football Conference, recorded an 18-game winning streak in the late 1940s prior to joining the NFL. Pro Football's Longest Winning Streaks (Regular & Postseason Combined) 21 Games