NEW YORK -- 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, and the Jets are not happy with the process.

"An NFL coin toss has a few fundamental elements that are missing here, most notably the presence of the teams involved," Jets owner Woody Johnson said in a statement. "That's how it's always done in the league, whether it's determining the order of the draft or deciding who's going to kick off the game.