Jones said the infant had contracted the highly contagious airborne disease while visiting Auckland.
Public health officials were working swiftly with family and other known close contacts to ensure those who weren't immunised against measles stayed in isolation to avoid further spread of the disease.
The infant had not reached the stage for immunisation, measles, mumps and rubella vaccine being routinely given at 15 months and 4 years of age.
"Measles spreads easily from person to person through the air by breathing, sneezing or coughing, but it is preventable if people are immunised against it," Jones said.
While health teams were contacting people known to have come into contact with the case they also wanted to alert the public about possible contacts in the community.
He said that prior to the family realising the nature of the illness, the infant accompanied a member of the family to New World in Flaxmere on in the early evening of July 10.
"Whilst we believe the risk would be relatively low, we urge anyone who was shopping at the supermarket on that day within those timeframes to check their immunisation status and contact their doctor should they start experiencing any onset of measles symptoms," he said.
"The most important message is, if you believe you or a family member may have measles, please stay at home and phone your doctor to alert them of your symptoms and allow them to make arrangements to assess you safely and without infecting other people, or call Healthline for advice," he said.
"I would also urge anyone born after 1969 who is not fully immunised against measles to contact their doctor about having the free vaccine because it offers the best protection," he said.
Primary health care providers (family doctors and urgent care providers) have been advised to be alert to patients presenting or phoning in with symptoms.