As COVID-19 vaccination for children becomes commonplace in Ireland, it is important to understand parent's willingness to vaccinate their children and factors associated with hesitancy and resistance. Amongst a nationally representative sample of parents from Ireland, surveyed in March/April 2021, 52.1% had, or were intending to have their child vaccinated; 30.1% reported they might vaccine their child; and 17.8% reported they would not vaccinate their child. Compared to vaccine-accepting parents, hesitant parents were more likely to be younger, less educated, poorer, to not know somebody who was sick from COVID-19, to believe the COVID-19 vaccines were unsafe, and to hold negative beliefs about scientists and healthcare professionals. Vaccine-resistant parents were more likely to be younger, living alone, to distrust scientists, and to believe the COVID-19 vaccines were unsafe. Public health messaging should target younger, lower income parents with clear information about the safety of COVID-19 vaccines for children.