Methods for inducing non-clonal immortalization of normal epithelial cells by directly targeting the two main senescence barriers encountered by cultured epithelial cells. In finite lifespan pre-stasis human mammary epithelial cells (HMEC), the stress-associated stasis barrier was bypassed, and in post-stasis HMEC, the replicative senescence barrier, a consequence of critically shortened telomeres, was bypassed. Early passage non-clonal immortalized lines exhibited normal karyotypes. Methods of efficient HMEC immortalization, in the absence of “passenger” genomic errors, should facilitate examination of telomerase regulation and immortalization during human carcinoma progression, methods for screening for toxic and environmental effect on progression, and the development of therapeutics targeting the process of immortalization.