The Soviet Union Tuesday called on the United States to join Moscow in creating a World Space Organization, which would use a disputed Siberian radar base as its eye on the heavens.

Soviet leader Mikhail Gorbachev suggested earlier this month that the Soviet radar base at Krasnoyarsk, Siberia, be turned over to an international agency for the peaceful exploration of space.The United States says the radar base violates the 1972 Anti-Ballistic Missile Treaty and must be demolished.

Soviet Foreign Minister Eduard A. She-vardnadze said in his speech Tuesday to the General Assembly that the United States should join the Soviets in the space agency and donate U.S. radar units in Greenland and Britain.

Shevardnadze said the latest Soviet diplomatic initiative was sincere, and that he wanted to make the United Nations a "unique global center for ensuring universal and regional security, and the security of each country."

The Western allies, which regard the Soviet proposal as a new organizational plan that would replace the U.N. Charter, are reluctant to tinker with the existing structure of the world body.

Last year, the Soviets were unable to win a majority of votes in the General Assembly when they introduced the plan as a resolution.

Shevardnadze also said the U.S.-Soviet treaty to scrap all intermediate-range nuclear missiles should be supplemented by an agreement limiting the spread of military missile technology that "could be worked out only under the auspices of the United Nations."

On conventional arms, the Soviet diplomat suggested the United Nations register all conventional arms sales and transfers.

Shevardnadze called for an expanded role for the Security Council, suggesting periodic meetings of its foreign ministers.

In the last 18 months, increased U.S.-Soviet cooperation has allowed the Security Council to act unanimously on major issues including the Persian Gulf peace plan in Resolution 598, and in denouncing the use of chemical weapons in the gulf war.

Turning to Afghanistan, Shevardnadze said "the Geneva accords are not just an isolated local instance of a regional conflict settlement. . . . They are a new promising beginning in world politics, attesting to a qualitative change in poltiical thinking."

Under those U.N.-mediated accords, Soviet troops are to be out of Afghanistan by Feb. 15 in a withdrawal that began May 15.

Shevardnadze also acknowledged President Reagan's speech Monday in which the president noted U.S.-Soviet cooperation had contributed to breakthroughs in regional security.

"Here I can only agree with President Reagan's remarks yesterday about the beneficial impact of Soviet-American political dialogue on that process," he said.

On Monday, Reagan delivered a mostly conciliatory, upbeat farewell speech before the world body he had in the past chastised for its alleged anti-Western attitudes.