LONDON (Reuters) - A majority of Britons approve of the government's approach to leaving the European Union, a poll indicated on Monday, in a boost to Prime Minister Theresa May after she laid out her priorities for negotiations.

May set out her vision for Brexit in a speech in mid-January, outlining plans to leave the EU single market in a clean break with the bloc.

She had previously been criticized for being vague, and some lawmakers want further clarity before they will vote to start Brexit negotiations.

While May still faces some opposition from lawmakers, a majority of the public approve of her government's approach, for the first time since polling firm ORB began the series of polls in November.

The proportion of the public that approve of the government's preparations for Brexit stood at 53 percent, ORB found, up 15 points from a poll last month when only 38 percent approved, with 62 percent disapproving.

The poll also found that 47 percent agreed that May would get the right deal for Britain, with just 29 percent disagreeing. In January, it was evenly split at 35 percent between those who agreed and disagreed.

The two-year process of leaving the European Union is expected to be started by March, following a parliamentary vote this week.

The ORB interviewed a sample of 2,058 adults across the UK between Feb. 3 and 5. The poll was conducted online.

(Reporting by Alistair Smout; Editing by William Schomberg)