The Cuban Health Ministry said a "rare accident" had occurred on 22 May after a group of schoolchildren were inoculated against the disease with apparently contaminated doses from India.
The vaccines were certified by the World Health Organisation and purchased through the Pan-American Health Organisation.
India has a big export market for drugs
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No details were given about who the victims were, or where the incident took place.
The Cuban authorities have halted the annual measles vaccination campaign while the causes of the deaths are investigated.
The investigation will be carried out by a specially set up ministerial commission.
Immunisation
Measles was eradicated from Cuba in 1993, but campaigns to immunise young children are regularly carried out.
In 2002, some 750,000 Cuban children between the ages of four and nine have already been vaccinated.
The Health Ministry note ends by saying no new problems have been reported in the week since the incident.
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