The attack was the latest in a wave of deadly raids on residential areas of Yemen blamed on the coalition, drawing strong international condemnation.
The coalition, in a statement carried by the official Saudi Press Agency, said a review of the strike investigators had found "that a technical mistake was behind the accident".
Witnesses and medics in Sanaa said several children were among 14 people killed in yesterday's air strike that toppled residential blocks in Sanaa.
Today, he said in the statement that the coalition "regrets the collateral damage caused by this involuntary accident and offers its condolences to the families and relatives of the victims".
Also Read
Yesterday's raid targeted Faj Attan, a residential neighbourhood in the south of the capital that has been controlled since 2014 by Huthi rebels.
The coalition today accused the rebels of "setting up a command and communications centre in the middle of this residential area to use civilians as human shields".
The International Committee of the Red Cross yesterday condemned the raid as "outrageous".
She called in a statement for the UN to take action against Saudi Arabia over the list of civilian facilities struck in deadly air raids over the past two years.
Mohammed Ahmad, who lived in one of the buildings, said he was among those who had taken nine bodies to a hospital.
"We extracted them one by one from under the rubble," he said.
Diggers worked at the site for hours after the raid as medics and residents searched for the missing.
The World Health Organization estimates that nearly 8,400 civilians have been killed and 47,800 wounded since the Saudi-led alliance intervened in the Yemen conflict.
Yesterday's raid came two days after at least 35 people died in a series of strikes on Sanaa and a nearby hotel that rebels also blamed on the coalition.
The coalition has come under massive pressure from international organisations including the United Nations over the raids.
"In the week from August 17 to August 24, 58 civilians have been killed, including 42 by the Saudi-led coalition," UN human rights office spokeswoman Liz Throssell told reporters in Geneva yesterday.
Yemen, long the poorest country in the Arab world, also faces a deadly cholera outbreak that has claimed nearly 2,000 lives and affected more than half a million people since late April.
Disclaimer: No Business Standard Journalist was involved in creation of this content