Both the Giants and Jets wanted to open next season in the new Meadowlands Stadium. Both will.
The NFL said Monday the Giants will play on Sunday afternoon, Sept. 12, and the Jets will host a Monday night game the next day.
Opponents have not been announced; the full league schedule usually is released in early April.
"After extensive discussions with both teams, we have come up with what we believe is a unique approach for celebrating the opening of the new Meadowlands Stadium," commissioner Roger Goodell said.
The issue became somewhat contentious when the Jets announced on their Web site that a coin toss conducted by the league would determine which team opens the $1.7 billion stadium. The teams split the cost on the replacement for Giants Stadium, which they both called home since 1984.
But the league never confirmed such a decision until Monday, when it said Goodell did flip a coin for which team would play Sunday.
The Giants won.
According to the New York Daily News, Jets owner Woody Johnson was "outraged" by the outcome.
Goodell said the teams' ownership were passionate about being the first to play at home. He concluded that the fairest resolution would be to play both teams at home on the opening weekend and to use the coin flip.
The Jets will host the first NFL game at the new stadium during the preseason in August.
Only once have the Giants and Jets opened a regular season on the same weekend at Giants Stadium. In 1991, the Jets played Tampa Bay on Sunday, Sept. 1, and the Giants hosted the 49ers on Monday night, Sept. 2.