Household air pollution (HAP) presents numerous health challenges. The association between HAP and sleep problems has not been extensively studied. This paper examined the effect of HAP due to solid fuel use on sleep problems among older adults in India. Data from the initial phase of the Longitudinal Aging Study in India, which included 51,060 individuals aged 50 years and older, was utilised. Sleep problems were defined as experiencing difficulty falling asleep, waking up during the night, or waking up too early at least five times per week and were classified as a binary variable. Exposure to HAP was defined as the use of solid fuel for household purposes. Multivariate logistic regression was employed to assess the association, and additionally, interaction analysis was conducted to explore the potential moderating effects of age, gender, and residence on this association. The prevalence of sleep problems among older adults was around 12.7%. Sleep problems were higher among older adults who used solid fuel for cooking (OR = 1.25; 95% CI: 1.17, 1.33) and other purposes (OR = 1.13; 95% CI: 1.06, 1.20) in the adjusted model. The place of cooking, ventilation, and type of stove played a significant role in the association between solid fuel use and sleep problems. Individuals over 65, females, and those residing in rural areas were particularly vulnerable to sleep problems due to HAP exposure. The findings highlight the importance of reducing HAP exposure by transitioning to clean fuels as a public health priority within initiatives aimed at promoting healthy aging.