In order to overcome these limitations, we have developed a technique for estimating genetic correlation using only GWAS summary statistics that is not biased by sample overlap. Our method, cross-trait LD Score regression, is a simple extension of single-trait LD Score regression [19] and is computationally very fast. We apply this method to data from 24 GWAS and report genetic correlations for 276 pairs of phenotypes, demonstrating shared genetic bases for many complex diseases and traits.