PHOENIX, OCT. 31 -- President Reagan today renewed his demand that the Senate Judiciary Committee promptly begin hearings on the nomination of Judge Douglas H. Ginsburg to the Supreme Court, and presidential spokesman Marlin Fitzwater urged that the hearings begin even before the American Bar Association has completed its evaluation of his qualifications.

In his weekly radio address, Reagan said he wants to avoid "the kind of campaign of pressure politics we saw during consideration of Judge {Robert H.} Bork's nomination," which was rejected by the Senate.

"The way to show its determination to prevent such a campaign from happening again is for the Senate to insist that the Judiciary Committee hold hearings promptly," Reagan said. "No delays to gear up opposition or support for this nomination."

Fitzwater said, "We'd all like to fill the vacancy on the court while it's still in session," and he urged the hearings to begin even before the bar association's evaluation of Ginsburg is presented to the committee. Committee sources said the ABA evaluation will not be available before Dec. 1. Fitzwater noted that the ABA had been asked to work as quickly as possible.

Senate sources have said that while hearings are possible this year, floor action on the nomination appears unlikely until 1988, especially if Congress meets its scheduled Nov. 21 adjournment date.

When he was nominated to the federal appeals court 11 months ago, Ginsburg received a recommendation only of "qualified," the lowest of three favorable ratings. It would be highly unusual for the hearings to begin before the completion of the bar association evaluation of his nomination to the high court. The ABA evaluation was complete before hearings for all of Reagan's other Supreme Court nominees.

While Reagan publicly inveighed against the "pressure politics" of the Bork fight today, his strategists were planning to meet in Washington to develop tactics for handling the Ginsburg nomination. Fitzwater said there was not yet a "hard and fast" strategy, but it was being worked out this weekend.

Reagan, however, seemed to focus today -- as he did in announcing the nomination Friday -- on criminal justice issues, although as a law school professor and Justice Department official Ginsburg's specialty was antitrust law. "Too many judges have reinterpreted the Constitution, got away from the original intent of the founders and, in the process, made law enforcement a game in which clever lawyers try to find ways to trip up the police," Reagan said.

"Our courts must protect the rights of all Americans," he added. "And that includes the rights of the victims of crime and of society, not just of criminals."

Reagan's radio address was taped Friday at the White House. He traveled here to attend memorial services for First Lady Nancy Reagan's mother, Edith Luckett Davis, who died last week at the age of 91.