We consider the concept of statistical complexity to write the quasiperiodical damped systems applying the snapshot attractors. This allows us to understand the behaviour of these dynamical systems by the probability distribution of the time series making a difference between the regular, random and structural complexity on finite measurements. We interpreted the statistical complexity on snapshot attractor and determined it on the quasiperiodical forced pendulum.We investigate the statistical complexity, which is based on the effective entropy by P. Grassberger [13] and the main idea is published by R. López-Ruiz, H.L. Manchini, X. Calbet (LMC) [23,25,3,7].The expanded definition of the statistical complexity so called generalized