The British Association for Counselling and Psychotherapy (BACP) is a large organisation that many counsellors around the UK are registered with. They're not only a charity but also an accrediting body that set certain standards and codes of ethics for counsellors and psychotherapists to adhere to. If counsellors are accredited by the BACP it means they have completed a substantial level of training and experience approved by the Association.
The Association is made up of a number of different membership categories, e.g. Associate Member, Member (MBACP), Accredited Member (MBACP Accred), with the different categories standing for different levels of training and experience.
The British Association for Counselling was established in the 1970's but it wasn't until September 2000 that they recognised the need to represent psychotherapy as well as counselling, therefore changing their name to the British Association for Counselling and Psychotherapy (BACP).
BACP is the biggest and most well known accrediting body across the UK who works with both individual counsellors and organisations.