Also on Saturday, at least 15 civilians were killed when a Saudi-led coalition airstrike hit houses in the southwestern town of Taiz, reported local officials and residents.
The raid targeted the al-Salw district where Houthi rebels and government forces backed by a Saudi-led coalition are fighting for control.
Yemen has been rocked by conflict since the Houthis overran the capital Sanaa and other large parts of the country in 2014, prompting military intervention by a Saudi-led coalition in March past year in support of the internationally recognised government of Hadi.
Saturday's attack comes as United Nations envoy Ismail Ould Cheikh Ahmed waits to see if the warring parties accept a new peace proposal presented on Tuesday, after previous attempts to enforce a new ceasefire failed.
Full details of the peace plan, which was presented to the Houthis on Tuesday, have not been made public, but sources have said the proposal calls for agreement on naming a new vice president after the rebels withdraw from Sanaa and other cities and hand over heavy weapons to a third party.
"The Yemeni people have condemned these ideas and the so-called road map out of the belief that the deal is a gateway to more suffering and war", a statement by the presidency quoted Hadi as saying.
"All those in the houses were killed", he told AFP, adding that a child and seven women were among the dead.
The statement confirmed Hadi refused to receive it, citing him as saying that the plan "rewards the putschists while punishing the Yemeni people and legitimacy". Houthi media put the death toll at 43.
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The proposed peace deal gives the Houthi rebels - who forced President Abed-Rabbo Mansour Hadi out of Yemen - a share in the future government.
The civil war, ground battles and airstrikes have taken more than 10,000 lives, half of them civilians, injured more than 35,000 people, and displaced over two million, according to humanitarian agencies.
Hadi fled the armed advance of the Iranian-allied Houthi movement in March 2015 and has been a guest of neighbouring Saudi Arabia ever since.
Saudi coalition spokesman general Ahmed Asiri said the strikes were based on wrong information, apologizing to the families' victims.
Hadi himself resides in Riyadh along with most senior officials while security in second city Aden, where the government had set up temporary headquarters, remains fragile.
Meanwhile a vehicle laden with explosives blew up near the headquarters of Yemen's central bank in the southern city of Aden and five people were injured, local security sources said.
A bomb-laden vehicle driven by a suicide bomber heading towards the exploded before reaching its target, a security official said.