Current understanding of the genetic contribution to thoracic aortic aneurysms and dissections (TAAD) has largely been informed through studies focusing on rare, Mendelian forms of disease. In the current analysis we performed the largest genome-wide association study (GWAS) of TAAD to date, testing ~25 million DNA sequence variants in 8,626 participants with (7,050 European, 1,266 African, and 310 Hispanic ancestry individuals) and 453,043 participants without TAAD in the Million Veteran Program. The results were replicated in an independent sample of 4,459 individuals with and 512,463 without TAAD from 6 cohorts. We identified 21 TAAD loci, 17 of which have not been previously reported. We leverage phenome-wide scanning and causal inference methods to provide evidence that TAAD is a non-atherosclerotic aortic disorder distinct form other forms of vascular disease; we subsequently use Bayesian techniques and single cell/nucleus RNA sequencing data to identify causal risk genes and cell types. Finally, we generate a TAAD polygenic risk score and demonstrate that those at the top 5% of polygenic risk are over 4-fold more likely to experience an incident, fatal TAAD event. Our results demonstrate that the genetic architecture of TAAD mirrors that of other complex traits and is not solely inherited through protein altering variants of large effect size. These data provide new mechanistic insights into TAAD risk and improve our understanding of thoracic aortic disease.