Understanding predictors of parents' willingness to vaccinate their children appears fundamental to promote vaccine acceptability, especially in a pandemic scenario. The present study aimed to investigate the role of conspiracy beliefs and absolutist thinking in parental attitude toward COVID-19 vaccine, and the predictive role of parents' individual differences on decisions against children's vaccination. An online survey was administered to 415 parents of children aged 5-11, at the very beginning of the vaccination targeting this population in Italy. Results showed that absolutism predicted the tendency to believe in conspiracies, associated with a negative attitude toward the COVID-19 vaccine administration to children. Moreover, mothers were less willing to vaccinate children and parents of children aged 5-7 were more hesitant, or even against vaccination, than parents of older children. Finally, the worry about consequences of COVID-19 infection on children's health facilitated vaccine adherence. These findings contribute to deepening mechanisms regarding the vaccine acceptability.