Sheikh Nasser, a nephew of the emir, is the first prime minister to be questioned by the assembly since democracy was introduced in the Gulf emirate in 1962.
He was also quizzed about a $700,000 cheque he issued to a MP last year.
The request to question the prime minister was filed last month by opposition MP Faisal al-Muslim.
If approved by a majority of the MPs, the motion would be sent to the emir who then could dismiss the prime minister or dissolve parliament and call for fresh elections.
The Gulf state has been rocked by political chaos since early 2006 when Sheikh Nasser was appointed premier.
Since February 2006, parliament has been dissolved three times because of disputes with the government, and Sheikh Nasser has been forced to resign five times.