Studies on the COVID-19 pandemic highlight detrimental effects of social distancing on mental health. These effects were also observed among caregivers of people with intellectual and developmental disabilities (IDD), who undergo particular challenges in this context. This study aimed to identify the coping strategies adopted by caregivers of people with IDD in the period of social isolation during the COVID-19 pandemic and their relationship to signs of mental illness. Forty-eight caregivers of people with IDD who were users of a non-governmental organization for the assistance of people with IDD and their families in southeastern Brazil undertook an on-line survey. Data analysis included descriptive statistics, Pearson's correlation, multiple regression, and the word cloud technique. Results indicate that most caregivers employed healthy coping strategies and used negative words to describe their feelings towards the pandemic. Confrontation, withdrawal, self-control, social support, acceptance, and escape correlated with psychological symptoms (stress, depression, or loneliness). Those symptoms were more prevalent among participants using escape as a coping strategy. These findings indicate that caregivers of people with National Deworming Day (NDD) used mostly positive coping strategies to face the COVID-19 pandemic, which may have contributed to the low prevalence of psychological burden in this population.