HSBC Holdings, Barclays, BNP Paribas and Goldman Sachs Group have recently signed agreements to settle the case, the Journal reported, citing people familiar with the matter.
HSBC has agreed to pay $285 million and Barclays $375 million, the Journal said.
Bank of America settled its portion of currency rigging lawsuit in April.
JPMorgan Chase settled for $99.5 million in January and Switzerland’sUBS Group settled for $135 million in March.
Other defendants include Citigroup, Credit Suisse, Deutsche Bank,Morgan Stanley, and Royal Bank of Scotland.
Investors including the city of Philadelphia, hedge funds and public pension funds accused the 12 banks of having conspired since January 2003 in chat rooms, instant messages and emails to manipulate the WM/Reuters Closing Spot Rates.
According to the lawsuit, the banks held an 84 percent global market share in currency trading, and were counterparties in 98 percent of U.S. spot volume.
HSBC, Barclays, BNP Paribas and Goldman Sachs could not be immediately reached for comment.