The study presents the results of many-years research conducted using biological objects of different organization level. It demonstrates special species-nonspecific form of weak external signals negative effect to cells life expectancy reduction caused by program damage of cells populations. This effect is detected after weak radiation, radio-chemical and thermal influences. It leads to faster extinction of postmitotic populations which can be a reason for life expectancy reduction of multicellular organisms. A possibility of such effect inheritance in the asexual and sexual reproduction is shown. Epigenetic mechanisms of this phenomenon are assumed.