EU ambassadors today agreed that, following Brexit, UK citizens coming to the Schengen area for a short stay (90 days in any 180 days) should be granted visa free travel. Ambassadors mandated the Council Presidency to start negotiations with the European Parliament on this legislative proposal.
According to EU rules, visa exemption is granted on condition of reciprocity. The government of the United Kingdom has stated that it does not intend to require a visa from EU citizens
Background
Visa policy towards third country citizens travelling to the Schengen area for a short stay is regulated under EU legislation. Existing rules include all third country nationals under one of two lists: nationals of third countries required to be in possession of a visa and those exempt from this requirement. Following Brexit, as a third country the United Kingdom will need to appear under one of these two lists.
Sources:
EC