Speaking at a polling station on the day of the country’s general election, Mr Abiy admitted there was a problem but said the government could fix it.
The fighting, which the UN says has left five million people in need of food aid, is now in its eighth month.
More than 350,000 of them are living in famine conditions in Tigray, according to a recent UN-backed estimate.
“There is no hunger in Tigray,” Mr Abiy told the BBC’s Catherine Byaruhanga after he had voted. “There is a problem and the…