It will mean an end to most litigation over New York City's failure to provide protective equipment to construction workers, police and firefighters who cleared rubble.
Only around 500 of the thousands who sued the city over the cleanup declined to take the offer.
At least 95 percent had to sign on to make the deal effective. It just cleared that hurdle, with 95.1 percent.
The settlement will provide at least $625 million. Related deals could boost that total to more than $725 million.