Objective We aimed to explore the influence of public workers’ distress or viral anxiety on their level of depression and work engagement during the coronavirus disease (COVID-19) pandemic. Additionally, we ascertain the mediation effect of resilience and public service motivation on this association. Methods A total of 300 public workers participated in this online survey. Their demographic characteristics and responses to survey items were collected using the Stress and Anxiety to Viral Epidemics-6 items Scale, the Patient Health Questionnaire-9 items Scale, the Public Service Motivation (PSM) Scale, the Nine-item Utrecht Work Engagement Scale, the Korean Occupational Stress Scale-Short Form, and the Brief Resilience Scale. Results Work engagement of public workers was expected by PSM (β=0.28, p<0.001), resilience (β=0.30, p<0.001), and work-related stress (β=-0.40, p<0.001) (F=57.4, p<0.001). Depression was expected by fewer years of employment (β=-0.12, p=0.02), viral anxiety (β= 0.21, p<0.001), and low resilience (β=-0.42, p<0.001) (F=22.1, p<0.001). Resilience and PSM partially mediated the effects of work-related stress on work engagement. Depression was influenced by COVID-19-induced viral anxiety, and their resilience—but not PSM—mediated the association. Conclusion Public workers’ resilience and PSM partially mediated the effects of work-related stress on work engagement. The influence of viral anxiety on public workers’ depression was mediated by their resilience but not PSM.