The COVID-19 pandemic has presented challenges to humanity, economically and in health and wellbeing. The associated limited social isolation and lifestyle changes has increased the risk for mental health services, especially among vulnerable people. This highlights the need for mental health services, burden that already stretch the health systems. This review presents an exposition on COVID-19 and mental health, and ways to minimise, and possibly prevent, their effect on the psychological well-being of those people. We searched four databases (Academic Search Complete, CINAHL Plus, PsycINFO and PsycARTICLES) using specific search terms and eligibility criteria. Of the 33 included studies, 31 were quantitative, and one qualitative and mixed method each. The studies were analysed using thematic narrative synthesis that resulted in three main themes: (a) the internal and external influences on COVID-19 behaviour, (b) the impact of COVID-19 on health and well-being and (c) the coping strategies used. Since COVID-19 will exist for the foreseeable future, understanding its impact on health and mental well-being and the coping techniques to be adopted are important now than ever. This study contributes to such an understanding along with suggestions regarding ways to minimise the impact of COVID-19 on mental health using context-appropriate strategies.