European Commission President Jean-Claude Juncker on Tuesday said Europe would remain "a peace project" and "a project for the future", just hours ahead of a European Union summit.
Juncker made the remarks while addressing a special plenary session of the European Parliament on the outcome of the British referendum on Thursday, Xinhua news agency reported.
He reiterated regret over but respect for the choice of the Britons.
"I urge the government of the UK to clarify as quickly as possible the situation," he said, adding "not today, not tomorrow, but quickly".
He also said there would be no "secret negotiations" and no "prior negotiations".
Tuesday's summit will be the first after Britons' historic decision to leave the EU. Leaders of the EU countries are gathering in Brussels to discuss the terms of the divorce, among other issues.
Britain joined the European Union in January 1973.