Presidency of the Council of the European Union (commonly referred to as presidency of the European Union) is the responsibility for the functioning of the Council of the European Union which is rotated between European Union member states every six months. There is no single president but rather the task is undertaken by an entire national government, hence that state influences the direction of European Union policy during its term. Although it rotates every six months, since 2007 the current presidency has worked with the last and next one on a common political programme.
http://en.wikipedia.org/wiki/Presidency_of_the_Council_of_the_European_Union