Opposition lawmakers and protesters stormed parliament earlier this month to demand sheikh Nasser's resignation.At least 45 people were later arrested.
The government will remain in charge until a new government is formed. Opposition MPs have welcomed Sheikh Nasser's resignation and have called for the formation of a transitional government.
"We are waiting for the appointment of a new prime minister before parliament is dissolved in order to be assured of fair elections," opposition MP Khaled al-Sultan told the AFP news agency.
Sheikh Nasser has been in office for five years and has presided over seven different governments during that period