The paper deals with computational modeling of aluminium foams on two distinct scales. The microscopically heterogeneous cell walls are modeled with continuum micromechanics models. Several analytical schemes and FFT-based homogenization are applied to predict elastic properties at the first level. Nanoindentation with sharp Berkovich tip is utilized to obtain input parameters for the homogenizations. Plastic properties are assessed directly from spherical nanoindentation at this level. Several geometrical simplifications are studied to model the upper foam level using FE computations in two and three dimensions.