The Saudi-led coalition killed a couple in an airstrike on a populated neighbourhood in Yemen's port city of Hodeidah on Tuesday, local residents said.

"Thirty-year-old Ali al-Zaheri and his wife were killed in the coalition airstrike on the family's house in 7 July quarter this evening," a medical source at the Thawra public hospital told Xinhua by phone.

Their 10-year-old child, Wagered, was hit by a shrapnel in his head and was now receiving treatment, the source said on condition of anonymity.

Yemen's internationally-recognized government backed by the Saudi-led coalition launched a new offensive last week in a bid to retake the port city from the Houthi rebels.

Hodeidah is the main Red Sea port for the entry of food imports and aid to the country's northern provinces controlled by the Houthis, including the capital Sanaa.

The coalition intervened in Yemen in 2015 to support the government of President Abd-Rabbu Mansour Hadi after Houthi rebels forced him into exile.

The United Nations has listed Yemen as the country suffering the world's biggest humanitarian crisis, with 7 million Yemenis living on the brink of famine and cholera causing more than 2,000 deaths.