Rebel shelling of a residential neighbourhood of Yemen's third-largest city Taez killed four boys aged between seven and 15, a local official said on Tuesday.

The city is largely in the hands of the Saudi-backed government but has been a key battlefield in the conflict that has gripped Yemen since March 2015 as the rebels hold much of the surrounding countryside.

Monday evening's shelling hit the residential neighbourhood of Al-Jamaliya, one of the oldest in the city, the official said.

It followed a similar bombardment on Friday which killed three children, two of whom were playing football at the time.

Those deaths drew condemnation from the International Committee of the Red Cross and Human Rights Watch.

"What happened on Friday is yet another stark reminder of the immense suffering that civilians across Yemen are enduring in their daily lives," said ICRC regional director for the Near and Middle East Robert Mardini.

"We urge all warring sides to take every precaution to spare civilians."

Human Rights Watch regretted the fact that the UN Human Rights Council had so far failed to agree on setting up an international inquiry into allegations of abuses by both the rebels and by the government and its backers in a Saudi-led coalition.

Coalition air strikes on rebel-held areas have also exacted a heavy death toll among children, with four children among 12 civilians killed in a strike on Saturday.

More than 8,000 people have been killed in Yemen since the coalition intervened in March 2015, including at least 1,500 children.

Millions more have been displaced by the conflict which has pushed the impoverished country to the brink of famine.

A cholera outbreak has claimed the lives of more than 1,800 people since April, with 400,000 suspected cases across the country, according to the UN and the ICRC.