The European Commission, which is negotiating the terms of Brexit with London on behalf of the 27 members of the EU, is to convene on Monday to confirm the mandate of Brussels' chief negotiator, Michel Barnier, who will then have his first meeting with Davis.
Mr Barnier said the backing of the remaining 27 countries was a further show of "determination and confidence" in what promise to be two years of bruising negotiations with London.
Britain will not accept the "one-sided" powers of the European Court of Justice as part of a deal to leave the European Union, Brexit minister David Davis said on Monday, criticizing what he called an "ideological obsession" with the court in Brussels.
The third week would be for negotiations themselves - EU officials expect the British to come to Brussels for the week - and the fourth to report the results to the 27 governments and the European Parliament and prepare the next round of talks.
Brexit Secretary David Davis said: "The EU wants to start negotiating just 11 days after the General Election on June 8".
Negotiations are not expected to begin until mid-June after the British general election, but the two sides are already at loggerheads over key issues including the cost of Britain's departure.
The European Commission also included the negotiations over Ireland in the directives, noting that Brexit should not become an obstacle to the implementation of the Good Friday Agreement and that a hard border between the United Kingdom and Ireland should be avoided.
Davis predicted the negotiations will be "fairly turbulent" and said he would reject any blueprint for discussions that requires the issues of the divorce bill, European Union citizens' rights and Northern Ireland's border to be solved before talks can begin on future trade.
That approach is opposed by Britain, which wants them to be discussed in parallel.
The negotiating directives approved Monday were largely unchanged from the earlier drafts prepared by the European Commission that put top emphasis on safeguarding citizens rights, reaching a financial settlement, and resolving border issues.
Brexit minister Davis at the weekend reiterated an earlier threat to quit the talks if the European Union does not moderate its demands. "Under the circumstances, if that was necessary, we would be in a position to do it", he told the Sunday Times newspaper. "The new partnership is what's important". The deal we seek will be negotiated by me or Jeremy Corbyn.
"There is much debate about what the UK's obligations might be or indeed what our rights might be", she said.