Gunmen in a vehicle opened fire on Basindwa's motorcade as he was returning home from office, one of his advisers said.
According to the BBC, Basindwa was a senior opposition figure before being appointed in November 2011 to head the government set up after President Ali Abdullah Saleh left power.
One of his aides, Ali al-Sarari, said security forces are trying to track down the vehicle used in the attack.
Earlier this month, the US and several other Western countries temporarily shut their embassies in Sanaa after reports of an imminent al-Qaeda attack, the report added.
--ANI (Posted on 01-09-2013)