The following paper describes the numerical modelling used to predict the dynamic behaviour of a posttensioned timber building with the addition of a hysteretic energy dissipation system. This modelling is in support of a shaking table test programme performed on a 2/3rd scale, 3-dimensional, 3-storey structure made from post-tensioned timber frames in both directions. Testing was carried out in the structural laboratory of the University of Basilicata in Potenza, Italy as part of a collaborative project between the University and the University of Canterbury in Christchurch, New Zealand. Modelling used two non-linear finite element codes, SAP2000 and RUAUMOKO. This paper compares numerical results obtained from the model with and without additional dissipative elements in order to better understand the dynamic behaviour of post-tensioned timber structures. Comparison is made with the results of the experimental campaign and amongst the finite element programs themselves.