The move on Monday falls in line with the emirate’s constitution which requires the Cabinet to step down after polls.
After accepting the resignation, Emir Sheikh Sabah al-Ahmad al-Sabah will either reappoint the outgoing premier, Sheikh Jaber Mubarak al-Sabah, or name another senior member of the ruling family to form a Cabinet.
The new Cabinet must be formed before Parliament holds its first session within the next two weeks.
The election Saturday saw the opposition win nearly half of the 50-seat Parliament after it ended a four-year boycott and took part in the polls.
Analysts predict the return of political disputes in Parliament unless the ruling family-led government succeeds in cooperating with the opposition, AFP reported.
Around half of the opposition candidates who won seats are politicians from a Muslim Brotherhood-linked group and Salafists.
The emir dissolved the previous Parliament due to a dispute over hiking petrol prices.
But a majority of the elected MPs have openly said they would oppose any austerity measures by the government to boost non-oil income.
Voters dealt a heavy blow to candidates from the outgoing Parliament, with over half of them failing to win seats in the new assembly.
Unlike other Arab states in the Persian Gulf, Kuwait has an elected Parliament with powers to hold ministers to account, even though senior members of the ruling family hold all the top Cabinet posts.
The election came as Kuwait faces its most acute budget crisis in years. Oil income has nosedived by 60 percent in the past two years.
The OPEC member, which pumps 3 million barrels of oil per day posted its first budget deficit of $15 billion last year.