Saudi Arabia and its allies struck a day after Saleh's son vowed to lead a campaign against the Iran-aligned Houthis.
Iranian President Hassan Rouhani said on Tuesday that Yemenis would make those attacking their country regret their actions as a Saudi-led coalition pounded the rebel-held capital with heavy air strikes.
Ali Abdullah Saleh announced on Saturday he was ready to turn a "new page" in ties with the Saudi-led coalition fighting in Yemen if it stopped attacks on Yemeni citizens.
Former Yemeni President Ali Abdullah Saleh said on Saturday he was ready for a "new page" in relations with the Saudi-led coalition fighting in Yemen if it stopped attacks on his country.
More than 11 million children in war-torn Yemen are in desperate need of humanitarian aid, the United Nations children's fund warned on Sunday.
The coalition said it would reopen Hodeida port to receive "urgent humanitarian and relief materials" and Sanaa airport to UN aircraft from midday on Thursday.
The stark warning from World Health Organisation, Unicef and World Food Programme came 10 days after the Saudi-led military coalition shut down Yemen's sea and air ports.
Young and old, desk clerks and activists, Yemenis from all walks of life took to the streets Monday to protest a Saudi-led blockade that has left thousands struggling to survive.