Chronic sleep disturbances, associated with cardio-metabolic diseases, psychiatric disorders and all-cause mortality 1,2 , affect 25-30% of adults worldwide 3 . While environmental factors contribute importantly to self-reported habitual sleep duration and disruption, these traits are heritable 4-9 , and gene identification should improve our understanding of sleep function, mechanisms linking sleep to disease, and development of novel therapies. We report single and multi-trait genome-wide association analyses (GWAS) of self-reported sleep duration, insomnia symptoms including difficulty initiating and/or maintaining sleep, and excessive daytime sleepiness in the UK Biobank (n=112,586), with discovery of loci for insomnia symptoms (near MEIS1, TMEM132E, CYCL1, TGFBI in females and WDR27 in males), excessive daytime sleepiness (near AR/OPHN1) and a composite sleep trait (near INADL and HCRTR2), as well as replication of a locus for sleep duration (at PAX-8). Genetic correlation was observed between longer sleep duration and schizophrenia (r G =0.29, p=1.90x10 -13 ) and between increased excessive daytime sleepiness and increased adiposity traits (BMI r G =0.20, p=3.12x10 -09 ; waist circumference r G =0.20, p=2.12x10 -07 ).Rather than being 'secondary', evidence suggests disordered sleep may play an important role in the etiology and maintenance of physical and mental health 1,2 . Heritability has been estimated at ~40% for sleep duration 4,6-8 , 25-45% for insomnia 9 and 17% for excessive daytime sleepiness 9 , but few genetic factors are known. A Mendelian short sleep mutation in BHLHE41 (P385R) has been identified, and confirmed in mouse models 10 . GWAS for sleep duration have been reported 11-14 , but only an association at the PAX8 locus reached genome-wide significance and was confirmed across ethnic groups 12 . There are several reported loci for restless legs syndrome (RLS) and narcolepsy, but no known robust genetic loci for insomnia symptoms or excessive daytime sleepiness 15,16 .