The COVID-19 pandemic, and particularly the associated conditions of isolation, has detrimental effects on the mental health of the population that are not yet fully understood. Variables such as individual stress, anxiety, and tolerance to uncertainty may play a role in the ability of individuals to adapt to the isolation situation. In this context, it is necessary to pay attention to population groups that present difficulties in adapting to this situation of uncertainty, such as people with autism. This narrative review of the evidence has as objectives to explore (1) the effect that the autism community has experienced as a result of the lockdown and isolation due to COVID-19; and (2) opportunities for health, educational, and social services providers to support people with autism and their families in isolation in an attempt to ensure that specialized interventions continue as much as possible. We map suggestions regarding information delivery, time management at home, recognition and emotional expression, and some suggestions to maintain support with service providers.