Flowering time is a relevant agronomic trait because is crucial for the optimal formation of seeds and fruits. The genetic pathways controlling this developmental phase transition have been studied extensively in Arabidopsis thaliana. These pathways converge in a small number of genes including FT, the so-called florigen, which integrates environmental cues like ambient temperature. Nevertheless, detailed and functional studies about flowering time in Brassica crops are scarce. Here we study the role of the FT Brassica rapa homologues and the effect of high ambient temperature on flowering time in this crop. Phenotypic characterization and gene-expression analyses suggest that BraA.FT.a (BraA02g016700.3C) is decisive for initiating floral transition; consequently, braA.ft.a loss-of-function and hypomorphic mutations result in late flowering phenotypes. We also show that high ambient temperature delays B. rapa floral transition by reducing BraA.FT.a expression. Strikingly, these expression changes are associated with increased histone H2A.Z levels and less accessible chromatin configuration of the BraA.FT.a locus at high ambient temperature. Interestingly, increased H2A.Z levels at high ambient temperature were also observed for other B. rapa temperature-responsive genes. Previous reports delimited that Arabidopsis flowers earlier at high ambient temperature due to reduced H2A.Z incorporation in the FT locus. Our data reveal a conserved chromatin-mediated mechanism in B. rapa and Arabidopsis in which the incorporation of H2A.Z at FT chromatin in response to warm ambient temperature results in different flowering time responses. This work will help to develop improved Brassica crop varieties with flowering time requirements to cope with global warming.