The budding yeast Saccharomyces cerevisiae possesses a very flexible and complex programme of gene expression when exposed to several environmental challenges. Homeostasis is achieved through a highly coordinated mechanism of transcription regulation involving several transcription factors, each one acting singly or in combination to perform specific functions. Here, we review our current knowledge of the function of the Yap transcription factors in stress response. They belong to b-ZIP proteins comprising eight members with specificity at the DNA-binding domain distinct from that of the conventional yeast AP-1 factor, Gen4. We finish with new insights into the links of transcriptional networks controlling several cellular processes. The data reviewed in this article illustrate how much our comprehension of the biology of Yap family involved in stress response has advanced, and how much research is still needed to unravel the complexity of the role of these transcriptional factors. The complexities of these regulatory interactions, as well as the dynamics of these processes, are important to understand in order to elucidate the control of stress response, a highly conserved process in eukaryotes.