The war in the Horn of Africa appears to have ended, State Department officials said yesterday, with no more fighting reported between Somalia and Ethiopia.

Spokesman Hodding Carter said Ethiopia and supporting Soviet and Cuban forces are respecting the border with Somalia as Somali forces withdraw from Ethiopia's Ogaden region.

"What we do have is effectively a cessation of hostilities and a withdrawal of Somalis," said Carter.

It was not clear whether the guerrilla forces of the Western Somali Liberation Front is pursuing its promised guerrilla war in the region, however.

In Havana, Cuba acknowledged for the first time that its troops fought alongside Ethiopia's in the desert war. The official Communist Party newspaper Gramna gave a detailed account of how Cuban pilots, tank crews, artillery units and infantry brigades took part in the most crucial latter phases of the fighting.

he officials in Washington said a high-level U.S. emissary - perhaps Assistant Secretary of State Richard Moore - will visit Somalia shortly.

An aide to presidential national security adviser Zbigniew Brezezinski, David Aaron, visited Ethiopia last month on a similar mission.

Spokesman Carter said Secretary of State Cyrus Vance would meet with Somali Ambassador Abdullahi Addou at the Somali's request and would raise U.S. concern that the guerrilla front might continue the fighting.

The United States has sought Soviet and Cuban support for a cease-fire and withdrawal of their estimated 13,000 forces from Ethiopia.