Dzulkefly Ahmad says the proposal will be discussed at a pre-Cabinet meeting of the ministry's steering committee.
Deputy Health Minister Dr Lee Boon Chye says these are not an organised group.
The health minister says elements of exemption and a compensation mechanism also need to be considered in making vaccination compulsory.
However, its secretary-general Harry Tan disagrees that children who are not vaccinated should be barred from attending school.
Last year, four of the five kids who died of the disease were not given immunisation by the parents.
The Medical Mythbusters Malaysia address claims that vaccines contain questionable ingredients and are part of a conspiracy to skim a profit from the people.
However, they will be charged RM40 for registration, consultation and medication and another RM40 for immunisation.
The Galen Centre for Health and Social Policy says parents who refuse to vaccinate their children are putting others at risk of contracting preventable diseases.
Sharmila Sekaran says there should be court intervention if parents refuse to bring their children for regular check-ups.
Inoculation theory suggests that exposure to a weak or demystified version of an argument makes it easier to refute when confronted with more persuasive claims.
Philippine authorities are also pursuing criminal and public health safety investigations into any links between the drug and the deaths of 14 schoolchildren who died months after being vaccinated.
This compares with 1,500 children who did not get their jabs in 2015, says the deputy health minister.
Dr Noor Hisham reminds public to get immunised under the National Immunisation Programme at health clinics and at registered private clinics.
State Health director Dr Juita Ghazalie says they harbour doubts about the halal status of the vaccines or fear its side effects.
Health director-general says the child was not immunised against diphtheria, as the family practised homeopathy treatment.
Health Minister advises parents of children who miss immunization to get vaccinated for their children’s health.
Health Minister says parents must present immunisation records to identify students who have not been vaccinated, and for entry into Primary One.
41-year-old, who had a fever and complained of swollen tonsils, also had a raspy voice and experienced difficulty swallowing.
Health Minister says government will identify more families left out due to poverty and nomadic lifestyle.
Seen through Maqasid Shariah, the global immunisation programme is proven to be a very safe, effective and cost-saving global child survival strategy.