DNA of cancers such as renal cell carcinoma and mammary invasive ductal carcinoma, is persistently exposed to more oxidative stress than that of adjacent nornal tissue. We suggest that the concept of ‘persistent oxidative stress in cancer’ may open up a new research area, explaining part of the characteristic tumor biology of cancer such as activated transcription factors and proto‐oncogenes, genomic instability, chemotherapy‐resistance, invasion and metastasis.