The retirement plans of Chief Justice Warren Burger have run into a minor glitch.

Burger announced this week that he is resigning from the Supreme Court to devote full-time efforts to his position as chairman of the Bicentenniel Commission of the United States, which is planning to celebrate the 200th anniversary of the Constitution. Burger said he was worried that the effort is lagging in financial support, and he could not continue to hold both jobs.

But after the announcement, White House officials discovered that once he leaves the court, Burger will technically no longer be on the bicentenniel commission.

The commission's charter states that one member shall be the chief justice or someone he designates. Once Burger leaves the court at the end of this session, he will, theoretically at least, also give up his seat on the commission.

But White House aides said there is an easy remedy. Associate Justice William H. Rehnquist, whom President Reagan has nominated to succeed Burger, could, once confirmed by the Senate, name Burger his designee on the commission. Or, if there is a vacancy on the panel, Reagan could name Burger to the slot and appoint him again as chairman.