The Thursday strikes followed a rebel drone attack that closed one of the kingdom's main oil pipelines earlier this week and that Riyadh said was carried out on Tehran's orders.
Air strikes hit Yemen capital: rebels, witnesses
"We call on the international community and human rights groups to act on their commitments and stop such crimes from happening again by any means possible," Iranian foreign ministry spokesperson Seyed Abbas Mousavi said.
"Countries supporting the aggressor forces in Yemen by providing weapons and bombs to the coalition have a shared responsibility for this crime and must be held accountable," he added in a statement on Telegram.
Mousavi did not comment on Riyadh's allegation that Tehran was behind Tuesday's rebel attack on the Saudi pipeline.
Aid group Doctors Without Borders (MSF) said that at least four people were killed and 48 wounded in coalition air strikes on Yemen's rebel-held capital Sanaa on Thursday.
The UN's humanitarian office OCHA said later that five children had been killed and 16 wounded in the strikes.
Saudis accuse Iran of ordering Yemen rebel oil attack
The coalition intervened in Yemen in March 2015 when President Abedrabbo Mansour Hadi fled into Saudi exile as the rebels were poised to take his last toehold Aden after overrunning most of the rest of the country.
Its air campaign on rebel-held areas has been repeatedly criticised by the United Nations and human rights groups for its high civilian death toll.
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