The Cleveland Browns began play in 1946 as a charter member of the All-America Football Conference and joined the NFL in 1950 after the AAFC folded. The team won all four AAFC titles and had one undefeated season, as well as four NFL Championships, the last in 1964.
In 1987, during the Divisional Playoff game, the Browns benefited from a moment of madness against the Jets. The Jets were leading 20-10 with less than four minutes to play, with the Browns in a 3rd and 24 situation. However, Mark Gastineau was called for roughing the passer, which gave Cleveland a first down. The drive ended with Kevin Mack running into the end zone for a touchdown. After going three-and-out the Jets went back on defense, but allowed the rejuvenated Browns to again drive the ball deep into their end of the field. With 11 seconds remaining in regulation, Mark Moseley kicked a field goal to tie the game. In the first of two ensuing overtime periods, Moseley missed his next attempt, but later redeemed himself by ending what had become the second longest game in NFL history. Final score was Browns 23, Jets 20. The Browns would lose to the Broncos in the AFC Championship game, however.
Owner Art Modell announced on November 6, 1995, that he had signed a deal to relocate the Browns to Baltimore in 1996—a move which would return the NFL to Baltimore for the first time since the Colts relocated to Indianapolis after the 1983 season. After extensive talks between the NFL, the Browns and officials of the two cities, Cleveland accepted a legal settlement that would keep the Browns legacy in Cleveland. In February 1996, the NFL announced that the Browns would be 'deactivated' for three years, and that a new stadium would be built for a new Browns team, as either an expansion team or a team moved from another city, that would begin play in 1999. Modell would in turn be granted a new franchise for Baltimore, the Baltimore Ravens, retaining the current contracts of players and personnel. There would be a new team, but the Browns' name, colors, history, records, awards and archives would remain in Cleveland.
The "new" Cleveland Browns began play in 1999, but only won five games in the next two seasons. It took them until 2004 to make the playoffs.
Their record against the Jets is 12-7 in favor of the Browns and 1-0 to the Browns in the postseason.