LOS ANGELES — Los Angeles reached an agreement Monday with international Olympic leaders that will open the way for the city to host the 2028 Summer Games, while ceding the 2024 Games to rival Paris, officials announced Monday.

The deal would make Los Angeles a three-time Olympic city, after hosting the 1932 and 1984 Games.

The city is taking “a major step toward bringing the Games back to our city for the first time in a generation,” Mayor Eric Garcetti said in a statement.

He called it a “historic day for Los Angeles, for the United States” and the Olympic movement.

The agreement follows a vote earlier this month by the International Olympic Committee to seek an unusual deal to award the 2024 and 2028 Games simultaneously. Paris is the only city left to host the 2024 Games.

The Los Angeles City Council and U.S. Olympic Committee board of directors will consider the agreement for approval later this month. If approved, the IOC, Los Angeles and Paris may enter a three-part agreement, clearing the way for the IOC to simultaneously award the 2024 Games to Paris and the 2028 Games to Los Angeles. The IOC vote is scheduled for September, in Lima, Peru.

In a statement, the Paris bid committee welcomed the announcement in Los Angeles but stopped short of confirming the obvious, that Paris is in line for the 2024 Games.

“Paris 2024 is proud to be working together with the IOC and our friends in Los Angeles to reach a positive solution for both cities, the Games, and the whole Olympic Movement for 2024 and 2028,” committee co-chair Tony Estanguet said.

In embracing what amounted to the second-place prize and an 11-year wait, Los Angeles will receive a financial sweetener.

Under the terms of the deal, the IOC will advance funds to the Los Angeles organizing committee to recognize the extended planning period and to increase youth sports programs leading up to the Games. The IOC contribution could exceed $2 billion, according to city officials. That figure takes into account the estimated value of existing sponsor agreements that would be renewed, as well as potential new marketing deals.

The delay to 2028 opens a host of questions for Los Angeles, which is looking at the prospect of retooling its multibillion-dollar plans for more than a decade into the future. It would face challenges from maintaining public interest to recasting deals for stadiums, arenas and housing that have been in the works for months and even years.

Los Angeles and Paris were the last two bids remaining after a tumultuous process that exposed the unwillingness of cities to bear the financial burden of hosting an event that has become synonymous with cost overruns.

Los Angeles was not even the first American entrant in the contest. Boston withdrew two years ago as public support for its bid collapsed over concerns about use of taxpayer cash. The U.S. bid switched from the east to the West Coast as Los Angeles entered the race.

But the same apprehensions that spooked politicians and the local population in Boston soon became evident in Europe, where three cities pulled out.

Los Angeles City Council President Herb Wesson called the agreement a “win-win-win scenario.”

The opportunity to host the Games “is a golden occasion further strengthening Los Angeles – not just through bricks and mortar, but through new opportunities for our communities to watch, play and benefit from sport,” Wesson said.