The cytoskeleton`s elements, especially system of the microtubules, are responsible for production of cell backbone system, creation the global spatial ordered organization which is also for efficient transport processes. Microtubules are involved into transportation of mitochondria, peroxisomes, microsomes, lyzosomes, Golgi apparatus, vesicular structures, some enzymes, adhesion molecules and, possibly, O2-depoting compounds. Disorganization of microtubules, mitochondria (principal consumers of intracellular O2), lose uninterrupted "address" delivery oxidizing substrates and O2. This may be one of the important factors underlying mitochondrial dysfunctions accompanied by a rise and/or intensification of cells hyperoxia and oxidative stress. These impairments are obviously responsible for oxygen-peroxide effects in aging, age-related pathologies, carcinogenesis and apoptosis. The agents, both stabilizing and disorganizating microtubules appear to be apoptogenic for the tumors cells.