Theresa May today chaired her first Cabinet meeting as British Prime Minister with a call out to her ministers to "make Brexit work for Britain".

She, however, underlined she did not want her government to be "defined by Brexit" as work gets underway for Britain to begin its exit from the European Union following the historic June 23 referendum.

"It will be the responsibility of everyone sitting around the Cabinet table to make Brexit work for Britain," she said. "We will not allow the country to be defined by Brexit, but instead will build the education, skills and social mobility to allow everyone to prosper from the opportunities of leaving the EU," she added.

The meeting comes days after the 59-year-old Prime Minister set her stamp on the new government by shaking up nearly the entire set of ministerial portfolios.