The Senate Judiciary Committee yesterday postponed for a week its confirmation vote on Alfred S. Regnery, President Reagan's choice to head the Justice Department's Office of Juvenile Justice and Delinquency Prevention.

The White House had urged the committee to act quickly, but after waiting an hour for a quorum Chairman Strom Thurmond (R-S.C.) said he would postpone the Regnery matter for a week.

Senate staff members said privately afterward that many members of the committee favored postponing the vote for a week to give them time to review a 100-page FBI report on Regnery that was sent by the White House to the committee Monday night.

The FBI investigation was asked by the White House following charges by a Madison, Wis., pediatrician that Regnery poses "a danger to the health needs of our children."

Dr. William Ylitalo, who has spent 27 years in Madison as a pediatrician, has said that he made that determination in 1975 shortly after the birth of one of Regnery's children. Citing medical ethics, Ylitalo has refused to say specifically why he objects to Regnery's appointment, but he was allowed to speak to the FBI after Regnery waived his right to medical privacy.

Meanwhile, supporters of Regnery have charged that Ylitalo's daughter runs a program that receives funds from the Office of Juvenile Justice and that Ylitalo made the accusations because Regnery threatened to cut off funding to that program.

Sally Maxton, Ylitalo's daughter, said yesterday that she is executive director of the Ohio Youth Services Network, which has a three-year grant from the office of $780,000. The grant was scheduled to run out in June, Maxton said, but Regnery recently signed an extension to allow the project to run until September at no extra cost.

Maxton said that she has not applied for a new grant from the Office of Juvenile Justice because the state of Ohio has agreed to take over funding of the program.

"I have no fiscal ax to grind with Mr. Regnery. I don't even know the man," Maxton said.