The suit, filed in the United States District Court for the District of Columbia, is in relation to two Freedom of Information Act requests submitted by members of the committee in early August.
In an email, William Burck, a lawyer in the Bush administration now overseeing the production of Kavanaugh's documents, said that he had approved Booker's request to release the documents Wednesday night.
In the exchange, Kavanaugh proposed deleting a line from a draft opinion article that said: "it is widely accepted by legal scholars across the board that Roe v. Wade and its progeny are the settled law of the land."
Sen. Cory Booker has questioned Brett Kavanaugh during his Supreme Court confirmation hearings about an email designated "committee confidential," a label that reportedly bars senators from discussing its contents in open session.
The opening minutes of the Senate Judiciary Committee hearing include a dramatic call from Democratic senators to adjourn as committee Chairman Chuck Grassley struggles to maintain order.
The push underscores the massive resistance the White House faces for the policy of splitting up families crossing U.S. borders illegally.
Sen. Al Franken plans an announcement Thursday after new allegations and growing calls for his resignation.