For semicrystalline materials, a stacked lamellar morphology gives rise to a strongly anisotropic mechanical response. A multiscale numerical model is used to simulate the effect of a stacked lamellar microstructure on the macroscopic behaviour. The constitutive properties of the material are identified separately for the crystallographic and amorphous domains. The averaged fields of aggregates of individual phases, having different preferential orientations are determined. The anisotropy of preferentially oriented material is investigated in different deformation modes.