Chromatin peptide drug molecules, which can block human cell hypoxia responsive pathway, are DNA affinity structural domain of related transcription genes or their imitating molecules or derivatives, containing 5-100 amino acid residues which can specifically bind firmly to HIF-1.alpha. gene self promoter or its downstream regulated more than 40 gene promoters. The above-mentioned molecules can permanently shut down molecular pathway including cell glucolysis reaction, immuno-inflammation reaction or hypoxia response, thus sustained stop uncontrollable proliferation of later stage tumor cells or chronic inflammation cells in the condition of hypoxia.