AMMAN, JORDAN, NOV. 13 -- Jordan's King Hussein said in an interview broadcast tonight that the strong joint statement issued by Arab leaders here this week has strengthened his hand in pressing Moscow to put its weight behind stronger U.N. measures to end the Persian Gulf war.

The Jordanian monarch is expected to travel to Moscow right after the conclusion of next month's summit meeting in Washington between President Reagan and Soviet leader Mikhail Gorbachev.

In an interview recorded Thursday with David Lay of the British Broadcasting Corp., Hussein said that when he meets with Gorbachev, "I'll be able to speak on behalf of the consensus within the Arab world." A number of Arab leaders in recent months have expressed growing frustration with Soviet and Chinese reluctance to support an arms embargo against Iran and other follow-up measures to the July 20 cease-fire resolution of the five permanent members of the U.N. Security Council, which includes Moscow and Peking.

Hussein is expected to reiterate in a meeting with Gorbachev the Arab League summit's resolutions that call for the implementation of the cease-fire resolution as it was passed. The resolution calls for both sides to stop fighting and withdraw to international borders and establishes an international body to determine the origins of the war as well as fix responsibility for the paying of war reparations.

Iran has sought support to alter the sequence by insisting that Iraq be branded the aggressor in the war simultaneous to any cease-fire.

Western and Arab officials have taken the Arab League summit resolution on the gulf war as a strong statement to Moscow that its relations with the Arab world majority are being tested as Arab leaders watch for signs of greater Soviet willingness to support new U.N. steps to pressure Iran into accepting a negotiated settlement to the war, now in its eighth year.

The king made his remarks at the royal palace in Amman as he was preparing to leave for his weekend retreat at the Red Sea port of Aqaba, where he will celebrate his 52nd birthday.

In the interview, Hussein said he feels strongly that the Arab world's archrivals, Syria and Iraq, have entered a new phase of rapprochement in the wake of the summit.

"Obviously the propaganda dimension of the struggle between the two countries over many years will be put under control, and I think the effects will be seen within a week," Hussein said.

"Following that, there will be contacts regarding the resumption of diplomatic relations," he added.

In the two days since the summit ended with both Syria and Iraq approving resolutions condemning Iran for its occupation of Arab territory and its missile attacks on Kuwait, the propaganda organs in Damascus and Baghdad have been substantially muted, according to reports from those capitals.

In Damascus, however, Foreign Minister Farouk Charaa quickly reiterated that nothing has changed in Syria's strategic relationship with Iran's revolutionary leadership, which remains bent on bringing down Iraqi President Saddam Hussein and his ruling Baath Party.

King Hussein said he believes that the Syrian president went along with the condemnation of Iran to avoid isolation from a growing tide of Arab unity built around a new defensive alliance among Iraq, the Arab states of the gulf and Egypt. "I believe that Assad . . . does realize what is happening and what is at stake," Hussein said in the interview.

He said that as the conference began last weekend, "the feeling that was present among the Arab leaders during this summit -- and it isn't new to me -- was that the Arab ship is sinking unless we all unify our efforts . . . {and} overcome the differences on a personal level."

Asked if he thought Assad would have to pay a price for condemning Iran in the form of new challenges in Lebanon from Iranian-controlled forces of the militant Hezbollah movement, he said, "I believe President Assad is an Arab leader who realizes what the responsibilities of every one of us are at this time. . . . Otherwise, no one is safe, and everyone is vulnerable, and every state in the area is vulnerable." Hussein said that a strong joint Arab defense commitment came out of the summit.

Hussein praised the summit's decision to allow member states to resume diplomatic ties with Egypt and said it has brought to an end "one of the most tragic and dangerous periods of our lives" -- the forced isolation of Egypt from the Arab League over Cairo's separate peace treaty with Israel in 1979 under the Camp David accords.