The paper investigates the problem of improving driveability of alpine skis. That properties depend largely on the vibration beha vior of a ski under differents now conditions. There is a broad range of methods to deal with vibration damping, both active and passive, that have been described in the literature. In this paper the passive approaches were taken into consideration. It is due to the specific nature of the sport where use of external sources of energy may be impractical. Passive shunt damping system has been designed for a commercially available model of an alpine ski. The performance of the designed system has been evaluated on a numerical model of the ski. Piezoelectric patches have been included in the model by means of a generalized impedance that complies both the mechanical properties and shunted circuit electrical properties. The fraction of strain energy stored in a piezoelectric element at particular vibration modes were used to evaluate the maximum damping coefficient for first three resonant modes that have the largest influence on the ski properties. The damping system is based on piezoelectric patches that can be easily embedded in the laminated structure of a ski.