The thesis is in its first part focused on finding a link between the relatively young mathematical discipline theory of chaos, and theoretical and practical work of theatre director. The first part explains the principles of chaos theory, fractal geometry, understanding chaos in ancient Greek culture, in postmodern and in current state of culture. The thesis in the second part applies the named apparatus to the practice and concludes with are several essential characteristics, functions and tasks of directing in the theatre. Third part is two case studies based on stage praxis: directing of performances Punk Rock and Otcizeni in a DAMU school theatre DISK.