Ethiopia's chief of staff and at least three other senior officials have been killed during a coup attempt by an army general in the northern state of Amhara, state television said on Sunday.

Amhara's state president Ambachew Mekonnen and his advisor were also killed, according to state media, which named the region's security head, General Asamnew Tsige, as the orchestrator of the attempted coup.

Prime Minister Abiy Ahmed's government faces growing pressure from regional strongmen, including in Amhara, a flashpoint in growing ethnic violence in Ethiopia.

The shooting occurred when federal officials were meeting the state president - an ally of Abiy - to discuss how to rein in the open recruitment of ethnic militias by Asamnew, one Addis-based official told Reuters.

A week earlier, Asamnew had openly advised the Amhara people, one of Ethiopia's larger ethnic groups, to arm themselves, in a video spread on Facebook and seen by a Reuters reporter.

Ethiopia, a nation of 100 million people, is struggling to contain widespread ethnic violence that has displaced around 2.4 million people, according to the United Nations.

Abiy donned military fatigues to announce on state television late on Saturday that there had been an attempted coup in Amhara's capital Bahir Dar earlier that day and that Ethiopia's Chief of Staff General Seare Mekonnen was among the casualties.

"He was shot by people who are close to him," Abiy said.

Seare had been shot dead by his bodyguard, state media reported on Sunday. Most of the perpetrators had been arrested, a general in charge of special forces in Amhara told state media on Sunday.

Since coming to power last year, Abiy has tried to spearhead political reforms in the Horn of Africa nation. Three years of political violence led to the unprecedented resignation of Abiy's predecessor, Hailemariam Desalegn.