One important source of genomic instability associated with tumor cells is DNA replication stress. In the current study, replication stress was induced in yeast by a 10-fold reduction in the level of the replicative DNA polymerase δ. By DNA microarray analysis and high-throughput DNA sequencing, we showed that this stress resulted in very high rates of both large (aneuploidy, mitotic recombination, deletions and duplications, and translocations) and small (point mutations and small insertion/deletions) genetic alterations. Some of these changes resulted in a selective growth advantage of the cells, demonstrating the role of elevated genetic instability in the rapid evolution of cells in challenging growth conditions