The strikes are the first to hit the capital after a five-day ceasefire ended late on Sunday, although military operations resumed earlier on Monday in northern Saada province and in the southern city of Aden.
Saudi Arabia and its Sunni Muslim allies have been conducting an offensive against Iranian-allied Houthis and units loyal to Saleh for more than seven weeks, part of a campaign to restore exiled President Abd-Rabbu Mansour Hadi to power.
The truce ended despite appeals by the United Nations and aid groups for extra time to allow badly needed humanitarian supplies into the country of 25 million people, one of the poorest in the Middle East.
Houthi sources also said they had fired mortar rounds at several areas in Saudi Arabia’s southern Najran province late on Monday and that they had engaged in clashes with Saudi forces near the border area.
Reuters could not immediately verify that information.
Houthi rebels have been shelling some populated areas across the borders between Yemen and Saudi Arabia.