Genome-wide association studies (GWAS) have revealed hundreds of genetic loci that underlie major psychiatric disorders, and post-GWAS analyses have discovered substantial genetic correlations among these disorders. This suggests these disorders share a common genetic architecture, implying the presence of a higher-order structure of psychopathology at both the genetic and phenotypic levels. Nonetheless, despite recent efforts at elucidating this structure by collaborative consortia such as HiTOP, the exact structure of psychopathology remains unknown. Herein, in one of the largest genetic studies of psychopathology conducted to date, we tested multiple alternative structural models of psychopathology at the genomic level using the genetic correlations among fourteen psychiatric disorders and related psychological traits estimated from GWAS summary statistics. The best-fitting model includes four correlated higher-order factors -Externalizing, Internalizing, Thought Problems, and Neurodevelopmental Disorders. These higher-order factors were validated by examining their correlations with external criterion variables, which showed distinct patterns of genetic correlations with the 4 higher-order factors. Several model modifications were tested to explore the placement of a few disorders -such as bipolar disorder, OCD, and eating disorders -within the broader psychopathology structure. These findings show support for several of the HiTOP higher-order dimensions and suggest a similar structure of psychopathology at the genomic and phenotypic levels. Our results imply that such higher-order psychopathology dimensions might be better targets for genetic and genomic investigations than individual disorders, and might be more predictive of relevant outcomes of considerable public health and societal concern.