President Reagan, in sending to Congress the District government's supplemental budget request for 1987, has told lawmakers that he would favor an amendment that would prohibit city use of local or federal funds to pay for abortions.

Reagan, who last week singled out for criticism the District's support of abortions for poor women, said in a letter Friday to House Speaker Jim Wright (D-Tex.) that Congress should ensure that almost "none of the funds" requested by the city be used for abortions.

"I am taking this opportunity to reiterate my request that the Congress ensure that none of the funds appropriated for the District of Columbia be used for abortion unless the life of the mother would be endangered if the fetus were carried to term," Reagan told Wright.

"Thus, I will support an amendment to the District of Columbia's appropriations bill that restricts the use of both the District's federal and locally generated funds for abortion."

A White House spokesman yesterday said he was unable to comment further on the president's action on the city's supplemental spending request, which, a District budget official said, involves neither federal funds nor abortion programs.

In a speech to a group of antiabortion activists Thursday, Reagan, who has stepped up his antiabortion rhetoric, reportedly pointed to D.C. abortion policies, saying that while federal funding of abortions has been prohibited here, the city continues to use local tax dollars for that purpose.

"There is no way to separate federal from locally raised funds, and this has permitted the District to go right on financing abortions," Reagan told the group, according to an Associated Press account.

Under the city's home rule charter, Congress and the president have ultimate authority over the District's budget process. The $52 million budget request was approved by the D.C. Council and Mayor Marion Barry.

City officials, who said they learned of Reagan's budget statement Friday, yesterday expressed disappointment but said they believe that it will have little impact on the District's request, which covers a wide range of spending not originally budgeted for the fiscal year that ends next month.

"The president's position is clear. It doesn't surprise or shock us," said Dwight Cropp, director of the D.C. Office of Governmental Relations and one of Barry's top aides. "It's disappointing that they would not respect self-government enough to allow the decision that's already been made by the council and the mayor."

"I think our supplemental will be approved as it is," said Wilhelmina Marshall, director of legislative affairs in the city's budget office. "In the past, Congress has been very sensitive to the home rule issue in letting the District spend its local dollars for purposes it deems necessary."

Marshall noted, though, that Congress -- in theory at least -- could order a freeze on all D.C. abortion spending if it follows the president's urgings when it takes up the supplemental package.

While Marshall said she considers the possibility of such action remote, she added that "there might be a possibility that some of the congressmen who have supported the president in the past will try to amend the {budget} language."

Since Reagan entered office, Marshall said, the city has stipulated that it would not spend federally allocated funds on abortions. Recently, supporters of the District have sparred with antiabortion legislators in Congress over whether the city should be allowed to use local tax money to help poor women obtain abortions.

Such restrictions have been approved by the House, only to be dropped from final appropriations measures by the time they emerged from the Senate.

The House recently approved a fiscal 1988 budget for the city that would prohibit the use of local funds to pay for abortions. That appropriations bill is awaiting Senate action.