The move has been made by the council to make its heritage attractions more accessible to European visitors.
Cllr Nicole O'Flaherty, executive member for tourism, leisure and culture, made the
decision to accept Euros.
She said: 'Tourism is vitally important to the economy of Bath & North East Somerset.
'We have been encouraging more European visitors to come to the area and I am delighted they can now spend their Euros at the Roman Baths, Museum of Costume, Tourist Information Centre and Pump Room.
'Around 12 percent of visitors to these attractions come from Europe and many have asked why we didn't accept the Euro. I am sure this decision will be welcomed by many European tourists.'
Only Euro notes will be accepted and change will be given in Pounds Sterling. The exchange rate will be kept at a competitive rate and will be updated on a weekly basis.