The suit from 10 "comfort" women led by Kim Bok-Dong, 89, will be lodged at a California district court on July 1 against Japan, their attorney Kim Hyung-Jin told reporters.
The case, which is now being pursued in the US as previous suits in Japan have failed, also targets Mitsubishi and other companies allegedly involved in war crimes.
Originally a dozen women who were forced to serve Japanese soldiers during World War II had offered to join the legal battle, but two have since died.
Mainstream historians say up to 200,000 women, mainly from Korea but also from China, Indonesia and other Asian nations, were forced into sexual slavery during the war.
Japan insists the issue was settled in the 1965 normalisation agreement, which saw Tokyo make a total payment of USD 800 million in grants or loans to its former colony.
South Korea says Tokyo does not fully accept its guilt and has not sufficiently atoned.
Park and Abe, however, gave a warmer impression in separate speeches on Monday as they marked the 50th anniversary of diplomatic relations between the two countries.
Park has previously maintained there can be no meeting with Abe until Japan makes amends for its "comfort women" system.
But in a recent interview with the Washington Post, she said: "There has been considerable progress on the issue of the comfort women", adding that the two countries were "in the final stage" of negotiations.