Prime Minister Abiy Ahmed wept and mourners wailed as the coffin of Seare Mekonnen, draped in the Ethiopian flag, was carried to the front of a room filled with soldiers in military fatigues, in footage carried by state media.

Ethiopia has been left reeling after this weekend's violence, a massive blow to Abiy who has embarked on an ambitious project of economic and political reforms in the nation.

However, his efforts have unleashed ethnic violence and turmoil as different groups jockey for resources and power.

On Saturday, what the government described as a "hit squad" entered a meeting of top Amhara officials and opened fire, killing regional president Ambachew Mekonnen, his top adviser and the state's attorney general.

A few hours later in Addis Ababa, some 500 kilometres (310 miles) away, army chief Seare was shot dead by his bodyguard. A retired general visiting him was also killed.

The government said he was coordinating the response to the "attempted coup" at the time.

Abiy's office also said it appeared to be a "coordinated attack" without giving more details.

Ethiopian authorities have pinned the blame on Amhara's security chief Asaminew Tsige, who was gunned down by police while on the run on Monday.

Asaminew was only released last year from almost a decade in prison over a 2009 coup plot, under a mass prisoner amnesty that began under former prime minister Hailemariam Desalegn and continued under his reformist successor Abiy.

Analysts describe him as a hardline Amhara nationalist who was likely facing removal from his job over efforts to form a militia and rhetoric pushing for territory in neighbouring Tigray to be reclaimed.

The motives of Seare's assassin meanwhile, are completely unknown.

Internet services were down Tuesday across Ethiopia for a fourth consecutive day.