DNA replication timing and three-dimensional (3D) genome organisation are associated with distinct epigenome patterns across large domains during differentiation and cancer progression. However, it is unclear if alternations in the epigenome, in particular cancer-associated DNA hypomethylation, can directly promote higher order genome architectural alterations. Here, we use Hi-C and single cell Repli-Seq, in the colorectal cancer DNMT1 and DNMT3B DNA methyltransferases double knockout model, to determine the impact of DNA hypomethylation on replication timing and 3D genome organisation. First, we find that the hypomethylated cells show a striking loss of replication timing precision with gain of intra-population replication timing heterogeneity and loss of 3D genome compartmentalisation. Second, hypomethylated regions that undergo a large change in replication timing also show loss of allelic replication timing, including at cancer-related genes. Finally, we observe the striking formation of ectopic H3K4me3-H3K9me3 domains across hypomethylated regions where late replication is maintained, which we propose serve to prevent aberrant transcription and loss of genome organisation after DNA demethylation. Together, our results highlight a previously underappreciated role for DNA methylation in the maintenance of 3D genome architecture.