The present work deals with a nanoindentation simulation of a composite material corresponding to the idealized model for biological materials ("staggered model"). Nanoindentation is a kind of a hardness test comparable to Rockwell but on a nanometer scale and with a three-sided Berkovich pyramid. It is determining the load-displacement-curve. Such curves can be used to determine the hardness and the Indentation modulus of a material. In case of bone applications this characteristic values are reference material properties to evaluate the bone quality. The FEM package ABAQUS was used to examine the stress field under the Indenter tip. Moreover, the package was utilised to determine the hardness and the Indentation modulus according to Oliver/Pharr and to compare the calculated results with the literature existing data. Different method routes and programme adaptations have been followed to ensure results reliability. As shown in the present work the present resources are not sufficient to get comparable meaningful simulation results by using the program package ABAQUS for the chosen material data.