Background The genetic association of allergic rhinitis (AR) with other physiological systems throughout the human body remains unknown. Objective The aim of this Mendelian randomization (MR) study was to explore the association of this respiratory disorder with multiple common sleep and neuropsychological disorders at the genetic level. Methods Summary data for total AR and pollen AR were collected from the most updated FinnGen genome-wide association studies involving more than 340 000 European subjects. Summary data for 12 sleep and neuropsychological disorders (including snoring) were included from UK Biobank studies involving 63 392 to 462 933 European subjects. Three MR methods, including inverse-variance weighting (IVW), weighted median and MR–Egger, were used to determine the relationships between the exposures and outcomes. Several sensitivity analyses, including Cochran's Q, MR–Egger intercept, MR-PRESSO, “leave-one-out” test and funnel plot, were used to detect heterogeneity and horizontal pleiotropy. Results IVW revealed that total and pollen AR were associated with an increased risk of snoring (odds ratio (OR) = 1.011, 95% confidence interval (CI) = 1.004∼1.019, P = .003; OR = 1.006, 95% CI = 1.001∼1.011, P = .014). Two other MR methods supported the results from the IVW analysis. No heterogeneity or horizontal pleiotropy was confirmed by sensitivity analyses. In addition, IVW did not reveal any association between AR and other included disorders. Conclusion AR (specifically AR caused by pollen) might be an independent risk factor for snoring at the genetic level, which should be verified in the future.