The spatial and temporal organization of genome duplication, also referred to as the replication program, is defined by the distribution and the activities of the sites of replication initiation across the genome. Alterations to the replication profile are associated with cell fate changes during development and in pathologies, but the importance of undergoing S phase with distinct and specific programs remains largely unexplored. We have recently addressed this question, focusing on the interplay between the replication program and genome maintenance. In particular, we demonstrated that when cells encounter challenges to DNA synthesis, the organization of DNA replication drives the response to replication stress that is mediated by the ATR/Rad3 checkpoint pathway, thus shaping the pattern of genome instability along the chromosomes. In this review, we present the major findings of our study and discuss how they may bring new perspectives to our understanding of the biological importance of the replication program.