Brexit minister David Davis and the EU's chief negotiator Michel Barnier have agreed "that the two teams would meet for Article 50 negotiations on 9 and 10 November," the ministry said in a statement.
Davis had told a parliamentary committee on Tuesday that the next round of negotiations would begin on November 8 and continue until November 10.
Davis said the meetings would be the "first stock-take" since a summit in Brussels last month, adding that Britain wanted an "intensification" of talks.
Britain is set to leave the bloc in March 2019.