The Houthis also reiterated on Thursday that they had attacked Saudi Arabia in retaliation for deadly Saudi air strikes on the territory they control in western Yemen.
Houthi-run media reported on Wednesday night that at least six people had been killed and 11 injured in air and artillery strikes over the previous 24 hours.
According to the Houthi-run health ministry, 155 civilians have been killed since Yemen’s devastating civil war flared up three months ago.
The government’s health ministry has said at least 1,574 people have been killed in the conflict over the same period.
The fighting has also displaced more than 256,000 people.
The war began in 2014, when the Houthis ousted the internationally-recognised government from the capital, Sanaa. The conflict escalated the next year, after the Saudi-led coalition of Arab states intervened in an attempt to restore the government’s rule.
A four-year-old informal ceasefire began to unravel in July, when the Houthis announced a “maritime embargo” against Saudi Arabia and began missile and drone attacks on Saudi airports, oil facilities, and tankers in the Red Sea.
The Houthis said they were retaliating for what they call a Saudi blockade of their territory, as well as an air strike on Sanaa airport that they blamed on the kingdom.
The conflict escalated in September after the Houthis seized part of Yemen’s south-western Red Sea coast near the Bab al-Mandab Strait, a chokepoint for global shipping. Their advance contributed to a rise in oil prices following six months of war between the US, Israel and Iran.
Earlier this month, pro-government forces said they had regained control of territory overlooking Bab al-Mandab after launching a counter-offensive with Saudi air support.
However, fierce fighting is continuing there, as well as around the besieged government-controlled city of Taiz, and to the north in Marib, al-Jawf, Dhale and Shabwa provinces.