An investigation is underway to determine who killed him.
The latest attack came as the Houthis staged a public funeral for a slain commander in the Yemeni capital Sanaa.
The Houthis' Supreme Political Council chief and acting head of state Saleh al-Samad was killed along with six others in a Saudi-led coalition airstrike over a week ago in the coastal province of Hodeida.
In a televised speech, Houthi leader Abdul Malik al-Houthi vowed that the death of Samad - a relative moderate who helped oversee political and administrative duties while the Houthi military wing pursued fighting - would not split its ranks.
The people raising flags of the Republic of Yemen and pictures of the martyr president and banners that read slogans against United States policy in the region and calling to confront the Saudi-led coalition aggression on Yemen.
In a related development, Yemeni Security forces announced on Saturday the killing of a senior leader of Daesh terrorist organization. No casualties were reported in either incident.
In March, an Egyptian living in Saudi Arabia similarly was killed by missile debris in an attack on the capital, Riyadh.
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The Houthi-run Al Masirah television earlier said the Shia group had fired eight ballistic missiles toward Jazan in southern Saudi Arabia.
At least 38 Houthi militants were killed when a coalition airstrike led by Saudi Arabia targeted the building of Yemen interior ministry in Sanaa in the intervening night of Friday and Saturday.
The Iran-backed Houthis confirmed an overnight air strike on Sanaa but gave no details.
Al-Samad, who held the post of president in the Houthi-backed political body, was the most senior official to be killed by the Western-backed alliance, which had offered a $20-million USA reward for any information that led to Samad's capture.
Jizan civil defence spokesman Colonel Yahya Abdullah Al-Qahtani said on Arabiya TV that the Saudi man was killed by "falling fragments of military projectiles". The Shiite rebels known as Houthis did not immediately acknowledge the strike.
Yemenis inspect the site where an alleged Saudi-led airstrike hit houses at a neighborhood in Sanaa, Yemen.
Riyadh-based Al Ekhbariya TV channel also said two high-ranking Houthits were among the victims.