Dynamic evolution of critical systems addresses a range of problems which arise due to dynamically occurring changes in execution environments or due to explicit changes to the system like component updates or replacements. Since the focus of Organic Computing is the increasing need for self-organization in highly distributed systems, the concepts of Organic Computing (which are actually strongly influenced by the Autonomic Computing Initiative) might provide some kind of framework for dealing with dynamic evolution. The talk briefly introduces the vision of Organic Computing with respect to desirable properties of  system architectures, presents the generic Observer/Controller architecture, and outlines some applications  of Organic Computing to traffic light control and do demand side management in the electrical power system. Finally, it briefly discusses the relationship between Organic Computing and Dynamic Evolution.