This presented phd thesis focuses on the problems of instability in the rock walls and slopes, whose manifestation is among othersv rockfall and associated risks. It describes the theoretical aspects of the description of instability and summarizes the construction methods and technologies to eliminate them. On the basis of knowledge gained from specific buildings in the Czech Republic and based on the research project solved by author, submits suggestion to optimimalization of the anchoring elements as a basic part of most remediation methods.