Static indentation responses of foam sandwich structures reinforced by fiber columns (FSSRFC) are investigated theoretically. Based on the superposition principle, a new model is established for predicting the indenta- tion response of sandwich structures. It should be pointed out that this model does not need to calculate the strain en- ergy stored in the structure which is usually difficult to be determined. By theoretically calculation, FSSRFC can re- duce the indent deflection under the indenter for the same indentation force compared with traditional foam sandwich structures. This is very valuable to investigate the dynamic problem for this structure due to indentation response of FSSRFC is the foundation of their dynamic features.