A new constructive system for multi-story timber building with CLT panels is described. A vertical post-compression of each story allows avoiding the use of traditional joints, as hold-downs and angle brackets. Reducing the number of joint elements, the new constructive system may be faster than the traditional one. The story vertical post-compression allows to improve a shear-type behavior of each story with better performances of the CLT panels. Numerical studies on a single panel and a fivestory building are made performing pushover static equivalent nonlinear analyses. These studies show as the new system allows better performances, in the case of horizontal actions, in comparison to the traditional constructive use of CLT panels. Thus, the new system is very suitable, for timber buildings, in areas prone to seismic actions and wind actions.