All cells of human organism are continuously damaged, and a damage of the genetic material can be especially dangerous. The reaction of the cell to DNA damage is a complex process, which includes damage signaling, repair, apoptosis or cell death. It is connected with serious changes in the cell nucleus, which are caused by posttranslational modifications and dynamic relocalizations of proteins as well as alterations in the expression of many genes. These changes are not limited to the sites of DNA damage, but involve whole cell nucleus, including its domains: PML bodies, nucleolus and Cajal bodies.