Wnt signaling orchestrates gene expression via its effector β-catenin. Whether β-catenin targets genomic regions simultaneously or in a temporal fashion, and how this impacts the chromatin dynamics to modulate cell behavior, is currently unknown. Here we find that β-catenin binds different loci at each time-point after stimulation, implying that the definition of Wnt-targets is fundamentally temporal. This process is intrinsically cell-type specific. In fact, Wnt/β-catenin progressively shapes the chromatin of human embryonic stem cells consistent with their mesodermal differentiation: we call this genomic response plastic. In embryonic kidney cells, on the other hand, Wnt/β-catenin drives a transient chromatin opening, followed by a re-establishment of the pre-stimulation state: a response that we define elastic. Finally, the Wnt-induced transient chromatin opening requires β-catenin, suggesting a previously unappreciated pioneer-ing role for this molecule. We submit that the plastic-vs-elastic behavior constitutes part of the mechanism explaining how Wnt/β-catenin drives divergent cell-fate decisions during development and homeostasis.