Al-Massirah television said five others were wounded in the city of Amran, held by Shiite Huthi rebels at war with Yemen's Saudi-backed government.
The raid also damaged the walls of a neighbouring school compound which was empty at the time, witnesses told AFP.
According to tribal sources, coalition warplanes carried out 12 air strikes targeting an army base controlled by rebel forces during which the house was also hit.
Saudi Arabia has faced repeated criticism from rights groups over civilian casualties in the coalition's military campaign against rebels in Yemen that was launched in March 2015.
The coalition intervened after rebels closed in on President Abedrabbo Mansour Hadi in his southern refuge in the port city of Aden, forcing him into exile.
More than 6,600 people, mostly civilians, have been killed since the intervention of the Saudi-led Arab coalition, according to UN figures.
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