The COVID-19 pandemic has brought dramatic changes both for work and employees’ personal and family life domains. In this context, this research investigates the mediating role of the work-family conflict in the relationship between technostress creators (techno-overload and techno-invasion) and psychological well-being. We conducted a survey of 217 employees and the results indicated that the work-family conflict fully mediated the relationship between techno-overload and psychological well-being, thus strongly affecting the psychological well-being of employees in the context of exposure to the stress generated by ICTs overload. Similar results were identified regarding the mediating role of work-family conflict in the relationship between techno-invasion and psychological well-being. The findings suggest the need to increase the coping capacity of employees with technostress and their psychological well-being by reducing the work-family conflict and technostress.