This study examined the association between household secondhand smoke exposure (HSHSE) and health status among non-smoking adolescents in Korea using two subsamples obtained from nationally representative cross-sectional secondary data: males (n = 25,653) and females (n = 31,187). Two self-reported HSHSE measures included exposure to household secondhand smoke during the week before the survey (yes or no) and number of days of HSHSE (1-7 days); and five self-reported health problems included asthma, perceived stress, depression, suicidal ideation, and self-rated health. For each subsample, this study performed (1) multivariate logistic regressions to examine HSHSE effects on asthma, depression, and suicidal ideation; and (2) multiple linear regressions to examine HSHSE effects on perceived stress and self-rated health. The rate and number of days of HSHSE were significantly higher among females (30.1% and 3.4 days) than among males (25.9% and 3.1 days). In both subsamples, HSHSE was associated with all five health problems (ORs 1.15-1.32; βs: 0.04-0.14). An increase in the number of days of HSHSE was positively associated with (1) greater perceived stress and poorer self-rated health in both subsamples (βs: 0.01-0.04), and (2) greater odds of asthma, depression, and suicidal ideation in the female subsample (ORs 1.03-1.12). Given the findings related to the strong associations (1) between HSHSE and physical, mental, and general health problems; and (2) between days of HSHSE and a greater number of health problems in females, health professionals should actively implement interventions that encourage adult smokers to stop smoking in their homes.