A Post editorial {July 22} commented on the recent United Nations resolution for a Persian Gulf cease-fire, a resolution that is most unusual because we now have the two major world powers, the Soviet Union and the United States, in agreement on a major issue involving peace in the world. The editorial noted that the United States has every intention of using the resolution to work with Moscow on an arms embargo that would have the effect of slowing the tempo of hostilities in the Gulf.

On June 18, The Post published a summary of a Stockholm International Peace Research Institute Report that said that businesses or governments in 26 countries have so far sold weapons of war to both sides in the Iran-Iraq war. With the growing impact of this war on major countries, and some experts warning that the seeds of World War III are being sown in the area, it would seem very prudent for all major countries to explore all options for stopping the Iran-Iraq war. This war, after all, is senseless, and it benefits no one other than arms merchants.

The United States should try to force the next action in the United Nations. It should introduce a a resolution that would prohibit any U.N. member country, or any citizen of that country, from selling weapons of war to either Iran or Iraq, or to third countries for resale to these two countries, as long as hostilities exist between Iran and Iraq. Neither Iran nor Iraq has any significant in-country capability to produce weapons of war. If the so-called civilized countries of the world would all stop selling arms to both Iran and Iraq, their war would soon grind to a halt.

The U.N. debate on this suggested resolution would be illuminating. U.N. member countries would publicly have to make a choice between true promotion of peace in the Persian Gulf area and continuing their partisan support for either Iran or Iraq -- a policy that today is not ending, but is escalating, the war.

ALLEN M. WILSON Vienna