Ethiopia said yesterday that Somalia's withdrawal of its troops from the Ogaden region of Ethiopia was not enough to secure a cease-fire in the war in the Horn of Africa.

A statement issued by Ethiopia's embassies in Rome and in London said Somali President Mohammed Siad Barre also must renounce all territorial claims in the area.

"The Ethiopian government considers that Somalia's offer to withdraw its forces in no way constitutes a permanent solution to the conflict between Ethiopia and Somalia, which has been going on for 17 years," the statement said.

"The minimum condition for restoring peace is that Somalia recognize before the Organization of African Unity and the United Nations the international further between the two countries."

Somalia must also pledge to respect Ethiopia's territorial integrity, the statement said.

The Ethiopians also reasserted their right to seek foreign help to safeguard their territory. Soviet and Cuban personnel are aiding Ethiopian forces.

Somalia bowed Thursday to an overwhelming force to Ethiopians and their Cuban and Soviet advisers and said it was beginning to withdraw troops from the Ogaden. The troops had been fighting there to assert Somalia's claim on the territory, inhabited largely by ethnic Somali nomads.

The Soviet Union indicated in Moscow yesterday that it was not convinced that Somalia would withdraw all its forces from the Ogaden. This was seen as a reference to the simultaneous declaration by the West Somali Liberation Front that it would continue guerrilla warfare in the area. Somali forces have supported the Front in the past.

Senior Western diplomatic sources in Moscow said they doubted that the Kremlin would respond to President Carter's appeal Thursday for a withdrawal of Communist military units from Ethiopia following the Somali decision.

Soviet officials have said that Moscow and Havana are acting within international law by helping Ethiopia to repulse invading Somali troops.

The State Department said yesterday that Somalia's withdrawal was occurring in confused manner with fighting apparently continuing in some areas.

Spokesman Tom Reston said that he would imagine there was a partial cease-fire but that some troops were withdrawing under fire. Kenya was considering whether to permit Somalis to cross northern Kenya on their way home, he said.

Diplomatic sources in Mogadishu, meanwhile, said Somalia was faced with rival peace plans offered by Moscow and Washington in recent secret contacts, Associated Press reported.

The Soviet plan would bring Somalia back under the Kremlin's wing and re-establish Soviet bases in Somalia in exchange for security guarantees and eventual autonomy for the rebel Somali tribesmen of the Ogaden region.

The plan offered by President Carter would provide security guarantees and "defensive" weapons to Somalia in exchange for withdrawal, the sources said.

They predicted that Somalia would accept the U.S. plan because it would enable them to continue friendly ties with anti-Communist Arab oil states.