New British Prime Minister David Cameron said on Tuesday night that he aimed to form a proper and full coalition with the Lib Dems.

Britain's Queen on Tuesday night confirmed David Cameron is new prime minister. Cameron, leader of the Conservative Party, left Bucking Palace and arrived at the Downing Street.

In a statement outside the Downing Street No. 10, Cameron said Britain's best days lie ahead. He wants to rebuild trust in politics. Cameron also promised to be "honest about what government can achieve" and pledges to build a more "responsible society."

A coalition will throw up challenges but the Tories and Lib Dems can start work on improving the country immediately, Cameron said.

Lib Dem energy spokesman Simon Hughes said his party and the Conservatives have reached a "progressive arrangement," with a "surprising coming together," and people like him, from the "radical center-left of the party," will be able to work with the Tories.

U.S. President Barack Obama is due to call Cameron to offer his congratulation in the next few minutes.