The new laws will be introduced within weeks and will come into effect on January 1.
“Vaccinations save lives,” Health Minister Jill Hennessy said.
“We are getting tough on this issue because it’s important that we start addressing things like a significant increase in whooping cough.
“We know the spread of things like measles is becoming more virulent.”
Ms Hennessey said there had been 1,000 more cases of whooping cough this year compared to last year.
She said the matter was a community safety issue.