A new concept called complex multimorbidity provides a more reliable measure of disease burden than multimorbidity based on a simple count of diseases, by categorizing diseases according to the body system they affect. This study examined associations between sleep measures and complex multimorbidity among Chinese and Korean Americans in the Baltimore-Washington DC Metropolitan Area, using cross-sectional data (n = 400) from the Screening to Prevent Colorectal Cancer study (2018-2020). Sleep disturbance was measured using the 8-item Patient Reported Outcomes Measurement Information System Sleep Disturbance scale and sleep apnea risk was assessed using the Berlin questionnaire. Complex multimorbidity was defined as the coexistence of 3 or more of body system disorders assessed by self-report of physician-diagnosed diseases. Poisson regression models with adjustments indicated that individuals with sleep disturbance had 2.15 times the prevalence of having complex multimorbidity (95% confidence interval (CI): 1.07, 4.29). Individuals with a high risk of sleep apnea had 1.19 times the prevalence of having complex multimorbidity (95% CI: 0.47, 3.01). These findings suggest a need for interventions to increase awareness of the importance of sleep among health-care providers and the public and to educate them about causes, signs, and treatment of sleep disturbance and sleep apnea.