Plant responses to stress caused by high temperatures involve changes occurring at the molecular, metabolic, and physiological levels. Understanding the mechanisms by which plants recognize signals to activate this response is a prerequisite for identifying key genes and signaling pathways and for obtaining heat-tolerant plants. We demonstrated the first implementation of an assay for transposase-accessible chromatin to identify open chromatin regions (OCRs) in crown tissues of barley using three genotypes carrying different allelic forms of the sdw1 gene encoding gibberellin 20-oxidase subjected to elevated temperatures. In parallel, we performed gene expression analysis, which allowed us to relate changes in chromatin state to changes in transcriptional activity. The obtained data revealed that the hypersensitive chromatin regions within the genes were more repeatable than those outside the gene intervals. We observed that prolonged exposure to high temperatures increased chromatin accessibility. Genes with OCRs in their regulatory regions were involved in stress signaling and tolerance, including calcium-dependent protein kinase, mitogen-activated protein kinase (MAPK3), receptor-like cytoplasmic kinase (RLK), TIFY domain-containing transcriptional regulator, bZIP transcription factor, and regulatory protein NPR1. The effect of genotype on gene expression was not as pronounced as that of temperature. By combining results from the differential analysis of chromatin accessibility and expression profiles, we identified genes with high temperature-induced changes in chromatin accessibility associated with expression alterations. Importantly, our data revealed a relationship between the loss of chromatin accessibility in response to heat and the downregulation of genes related to gibberellin signaling.