The incident occurred on Wednesday as an attacker detonated a bomb-laden motorbike in a local market in the city.
No group has claimed responsibility for the attack yet.
On Sunday, thousands of Houthi demonstrators gathered outside Yemen’s National Security Intelligence Agency headquarters to urge Yemeni officials to exercise their rights and prosecute the culprits.
“We came out in support of our martyrs and to say that these demonstrations will be victorious because we will not let the blood of our martyrs go to waste. This is the message that we want to send to the criminals responsible for the killings,” a demonstrator said on condition of anonymity.
On June 9, Yemeni forces killed 13 Shia protesters and wounded 100 others during a demonstration outside the headquarters of the National Security Intelligence Agency in Sana’a.
The protesters were demanding the dismantling of the agency services because of its involvement in suppression of political activists under ousted dictator Ali Abdullah Saleh.
The protesters were also demanding the release of the Houthis being held by the authorities.
Human Rights Watch has demanded an investigation into the killings.
Yemen’s Zaidi population, also known as Houthis, have long been protesting about oppression and discrimination by Yemen’s Saudi-backed government.
The Houthi movement draws its name from the tribe of its founding leader Hussein Badreddin al-Houthi.