The parents of 413 children with typical development (TD) or special educational needs (SEN) filled in an online survey to investigate the associations between the restrictions introduced to face COVID-19 and parenting stress and parental disciplinary practices. The parents of children with SEN showed a significantly higher stress level than TD children's parents. However, they showed a lower inclination to overreact. In both groups, the parents who feel less supported, feel their needs threatened, and report having a child with more difficulties were more likely to exhibit parenting stress. Data on the associations between COVID-19 restrictions and the stress perceived by parents could help to focus the attention of the public health system on their parents' needs, leading to practices aimed to prevent parenting stress and burnout.