The thesis deals with numerical simulation of tunnel excavation in anisotropic soils by using UDEC software. The model follows the principles of NATM, with gradual excavation of the tunnel forehead (crown, bench, and invert) not accounting for the gradual anchoring and shotcrete on the tunnel walls. The work is divided into two parts. The first part deals with parametric analysis of material model and geometry influences on the shape and magnitude of the tunnel wall displacements. Five chapters are dedicated to the model geometry. Within each, various material models (elastic, Mohr-Coulomb and ubiquitous) are studied. The second part of the thesis deals with reverse analysis of displacements in the two-lane tunnel Šentvid. Reverse analysis uses one geometric model and three material models. The results are discussed at the end of each chapter and summarized at the end of work.