Identifying regulatory genetic effects in pluripotent cells provides important insights into disease variants with potentially transient or developmental origins. Combining existing and newlygenerated data, we established a population-scale resource of 1,367 induced pluripotent stem cell lines derived from 948 unique donors, with matched RNA-sequencing (RNA-seq) and genetic information. The sample size of our study allowed us to significantly expand our knowledge of quantitative trait loci (QTL) in pluripotent human cells and their broad trait and disease relevance.We identified cis-QTL for conventional gene expression levels but also transcript-ratio, exon expression levels, alternative-splicing and alternative polyadenylation usage, cumulatively yielding cis regulatory effects for 18,556 genes. We assessed the effects of rare variants identified from whole-genome sequencing data, by relating these to gene expression outliers, observing an enrichment for rare, deleterious variants in iPSCs with outlying expression profiles, which exceeds previous observations in differentiated tissues. Finally, we assessed distal QTL on a genomewide scale, identifying 193 trans-eQTL, linked to 191 trans-eGenes (FDR <10%), 38% of which were replicated in independent samples.By linking our regulatory map of rare and common QTL to comprehensive GWAS data, we identified high-confidence colocalization events for 4,336 individual GWAS loci, which includes physical traits such as height and coronary artery disease. In addition, we identify rare variant associations for metabolic rate and trans-eQTL linked to both cancer and height. Collectively, our data greatly expand the regulatory landscape in human pluripotent cells, and catalogues traitassociated variants that have potential developmental or transient contexts.