[6] The party has been criticised in the main for being anti-vaccination[7] In addition, criticisms have been levelled concerning their views on pseudoscience, alternative medicine, and conspiracy theories, as well as for its policies and misleading name.

[15] On its website, the party describes its criticism of the "no jab, no pay" legislation as support for informed consent,[16] and expresses concern about penalising unvaccinated children by excluding them from preschool.

[7] HAP cites the Royal Australasian College of Physicians, who also opposed the regulation, and references vaccinations programs in Denmark and Japan, which provide less coverage than the Australian system but produce excellent results in controlling disease.

[17] Steven Novella, a neurologist most notable for his work within the skeptics community, has written that the party subscribes to the Big Pharma conspiracy theory and takes a number of pseudoscientific and anti-science stances such as promoting homeopathy and claiming that electro-smog gives rise to electromagnetic hypersensitivity.

[8] Novella writes that "The HAP appears to be just a group of CAM practitioners trying to use the political process to advance their quack profession".

[11][4] At the 2016 Australian federal election, the party fielded senate candidates for New South Wales, Queensland, Victoria and Western Australia.