A bomb exploded at a Shi'ite Houthi mosque in Yemen's capital city of Sana'a on Friday, injuring at least 13 people.

According to social media reports, the Islamic State has claimed responsibility for the blast, though the claim is not yet verified.

The al Sayyah Mosque, in Shuub district was targeted by the miliants on Friday.

"If there was an explosion it has already happened in Sanaa in the people's district in a Houthi mosque. The Islamic state claims responsibility," Isis said though a Twitter statement.

The blast comes two months after a bloody attack on a Shia mosque in Yemen that killed 137 people.

Isis had claimed responsibility for the attack, calling it the "tip of an iceberg".

The blast at the Yemen mosque comes on the same day when a Shia mosque was attacked in neighbouring Saudi Arabia, in which at least 30 worshippers are feared killed.

No group has yet claimed responsibility for the Saudi mosque attack.