The New British Prime Minister is Theresa May

LONDON (AP) — Incoming British Prime Minister Theresa May says she is "honoured and humbled" to be chosen as new leader.

May addressed her supporters amid a dramatic and turbulent day, trying to reassure the public with characteristic grit and poise. The point was to underscore that the transfer of power will happen smoothly after the vote favoring a British exit from the European Union, or Brexit.

In her brief statement, she repeated that "Brexit means Brexit" and she will make a success of it.

One of the most experienced ministers in government, May is set to be the country's new prime minister following 18 tumultuous days in politics since the EU referendum.

The 59-year-old became the leader in waiting when her only rival withdrew from the race, citing a need for national stability and continuity following the vote.

Prime Minister David Cameron has said he will step down on Wednesday and May will immediately replace him.

May, who has been Britain's home secretary for six years, will become the country's second female prime minister.