At least 55 civilians were killed and 170 were wounded by bombings that struck densely crowded areas of the seaport, including a fish market and areas around Al Thawra Hospital, the International Committee of the Red Cross said in a statement from its Yemen delegation.
Griffiths said, "It is time long past for us, together, to call for an early resumption of the political process, two years since the last round in Kuwait".
Medical workers said more than 20 missiles were fired by warplanes into several neighborhoods of the Houthi rebel-held port city of Hodeidah on Thursday.
Al-Thawra Hospital, Yemen's biggest, was caught in the attack.
On June 13, the Yemeni government forces, backed by the Saudi-led coalition, launched an offensive to seize the port of Hodeidah from the Shia Houthi rebels.
The ongoing KSA-led war on Yemen left 40 Saudi soldiers killed and 30 others injured in July, 2018, according to reports circulated by local media outlets.
He said more than 22 million people, or 75 per cent of the population, require humanitarian assistance and protection.
Lise Grande, the United Nations humanitarian coordinator for Yemen, said in a statement that hundreds of thousands of people depended on the hospital to survive.
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The nearest target hit by the coalition on Wednesday or Thursday was more than two kilometres (1.2 miles) away from the two sites, Maliki told a news conference in Riyadh.
On Tuesday Yemen's Houthi group said, it was unilaterally halting attacks in the Red Sea for two weeks to support peace efforts. Fighting around the port has raised United Nations fears of a new humanitarian catastrophe in a country already at the brink of starvation and a deadly cholera epidemic.
On Friday, the UN's World Health Organisation said Yemen may be on the brink of a new cholera epidemic, with greater chance of a high death rate due to widespread malnutrition.
Save the Children estimated that 6238 people - half of them children - leave Hodeida on average "every single day".
The Yemeni government and rebel opposition Houthis have both declared their willingness to attend UN-organised peace talks in Geneva next month.
Yemen's civil war began in 2014. It has been recently seeking to retake rebel-held areas along the country's western coast, including Hodeida, the main entry point for food in a country teetering on the brink of starvation.
Griffiths has recently been shuttling between the warring parties to avert a coalition assault on Hodeidah.