More than 1,700 children were vaccinated at drop-in clinics and around 900 patients in GP practices. Surging demand for MMR vaccination left many practices inundated with requests.
Further vaccination clinics will be made available in the Swansea area next weekend, on Saturday 13 April, with NHS leaders urging patients to contact practices to arrange jabs.
Health officials have reported 588 confirmed cases of measles in south Wales, with a further 200 in north-east England.
Welsh health minister Mark Drakeford said: 'NHS staff from Public Health Wales and Abertawe Bro Morgannwg University Health Board, primary care staff in particular, have worked hard to make these clinics available and to encourage people to attend. I want to thank them for their dedication.'
Chief medical officer for Wales Dr Ruth Hussey said: 'I urge parents and carers of children who have not had the vaccination to arrange for them to receive it.
'Unvaccinated children aged between six and 12 months living in or travelling to the outbreak areas of Swansea and Neath-Port Talbot can be offered vaccination by their GP or go along to one of the vaccination sessions.
'There is no adverse effect to this extra jab and those children would still need to receive the recommended two doses at 13 months and three years and four months of age. If you live elsewhere, please contact your GP to arrange a vaccination.'