1Background: Several lines of evidence point toward the presence of shared genetic factors 2 underlying Autism Spectrum Disorder (ASD) and Attention Deficit Hyperactivity Disorder 3 (ADHD). However, Genome-Wide Association Studies (GWAS) have yet to identify risk 4 variants (i.e. Single-Nucleotide Polymorphisms, SNPs) shared by ADHD and ASD. 5Methods: Two complementary multivariate analyses -genomic structural equation 6 modelling (SEM) and colocalization analysis -were exploited to identify the shared SNPs for 7 ASD and ADHD, using summary data from two independent GWAS of ASD (N=46,350) 8 and ADHD individuals (N=55,374). 9Results: Genomic SEM identified 7 novel SNPs shared between ASD and ADHD (p genome-10 wide <5e-8), including three SNPs that were not identified in any of the original univariate 11 GWAS of ASD and ADHD (rs227378, rs2391769 and rs325506). We also mapped 4 novel 12 genes (MANBA, DPYD, INSM1, and PAX1) to SNPs shared by ASD and ADHD, as well as 13 4 genes that had already been mapped to SNPs identified in either ASD or ADHD GWAS 14 (SORCS3, XRN2, PTBP2 and NKX2-4). All the shared genes between ADHD and ASD 15 were more prominently expressed in the brain than the genes mapped to SNPs specific to 16 ASD or ADHD. Colocalization analyses revealed that 44% percent of the SNPs associated 17 with ASD (p<1e-6) colocalized with ADHD SNPs and 26% of the SNPs associated with 18 ADHD (p<1e-6) colocalized with ASD SNPs. 19Conclusions: Using multivariate genomic analyses, the present study reveals the shared 20 genetic pathways that underlie ASD and ADHD. Further investigation of these pathways may 21 help identify new targets for treatment of these disorders. 22 23 24 25