Background: Caregiver stress is a common problem observed in nursing homes. Aim: To determine the association between the level of resilience and stress, anxiety and depression in formal caregivers of older people institutionalized in long-stay establishments during the COVID-19 pandemic. Material and Methods: One hundred ninety eight formal caregivers working at 11 long term residences for older people in southern Chile were invited to answer the SV-RES resilience and the DASS-21 anxiety and depression scales and 102 agreed to participate. Results: We observed a significant association between the resilience scale score and variables such as weekly working hours (p < 0.01), current hours of sleep (p < 0.01), self-perception of sleep (p < 0.01), anxiety level (p < 0.01) and stress level (p < 0.01). Conclusions: A higher score on the Resilience Scale was associated with the absence of anxiety and stress, working between 22 and 43 hours per week, sleeping between 7 and 8 hours of sleep and a satisfactory self-perception of sleep. Studying the factors associated with resilience in formal caregivers of the elderly allows healthcare personnel to focus preventive actions, intervening promptly in risk areas associated with the work context, and strengthening the personal resources of caregivers.