Household air pollution (HAP) is one of the most important global environmental and public health issues. As a result of changes in air composition due to rapid industrialization and urbanization, air quality is deteriorating and outdoor pollution is increasing daily. Simultaneously, poor ventilation, microbial growth, tobacco smoke, solid fuel use, and different toxic chemicals are causing deterioration in household air quality, which contributes significantly to the global burden of disease. This paper reviews the available literature to examine the impact of HAP on human health, comprehensively identifies the sources of HAP, and synthesize management approaches to reducing the severity of HAP. The English language databases PubMed, Google Scholar, Web of Science, and Science Direct were searched using the key terms: HAP, particulate matter, health risks, public health, pollutant sources, burden of diseases, and management approach. Bibliographies of all relevant articles were also screened to find further useful articles. This review addresses all possible sources of HAP that are categorized as biological or chemical (organic and inorganic) and are associated with grave public health threats, such as lung function reduction, respiratory illness, asthma, pneumonia, tuberculosis, eye diseases, pregnancy complications, cardiovascular diseases, and cancer. Suggested approaches, including compliance with international guidelines and regulatory frameworks, pollutant source reduction methods, and fulfillment of international environmental laws, conventions, agreements, protocols, and treaties, can be effectively adopted to mitigate household air pollutants, reduce the global burden of disease, and promote household environments that support better human health. The sources of HAP and its health impacts should be considered in the development of future policies concerning reduction in all household air pollutants worldwide. Therefore, this review establishes the groundwork for future studies assessing the effectiveness of strategies aimed at creating sound household environments to promote better human health.