COVID-19 has changed family life, including employment status, financial security, the mental health of individual family members, children's education, family well-being, and family resilience. The aim of this study is to analyze the previous studies in relation to family well-being during the COVID-19 pandemic. A literature review was conducted on PubMed, Medline, Web of Science, and Scopus for studies using a cross-sectional or quasi-experimental design published from their inception to October 15, 2020, using the keywords “COVID-19,” “pandemic,” “coronavirus,” “family,” “welfare,” “well-being,” and “resilience.” A manual search on Google Scholar was used to find relevant articles based on the eligibility criteria in this study. The presented conceptual framework is based on the family stress model to link the inherent pandemic hardships and the family well-being. The results show that family income loss/economic difficulties, job loss, worsening mental health, and illness were reported in some families during the COVID-19 pandemic. Family life has been influenced since the early stage of the pandemic by the implementation of physical distancing, quarantine, and staying at home to curb the spread of coronavirus. During the pandemic, it is important to maintain family well-being by staying connected with communication, managing conflict, and making quality time within family. The government should take action to mitigate the social, economic, and health impacts of the pandemic on families, especially those who are vulnerable to losing household income. Promoting family resilience through shared beliefs and close relationships within families is needed during the COVID-19 pandemic.