Children were among eight people wounded in the last evening blast, the rebel-controlled Saba news agency said.
The Sunni extremists of IS have carried out a string of deadly attacks against Shiite targets in Yemen since March.
The Huthi Shiite rebels, who overran Sanaa last September, also lost 11 fighters in other attacks in the capital overnight, medics and witnesses said.
Six were killed in a shooting at a checkpoint near the central bank. Five were killed in a car bombing against a police station in the Al-Hassaba district in the north of the city.