The foam-filled concrete (FFC) is expected to become a new type of arresting material for the engi- neered material arresting system (EMAS). In order to investigate the mechanical properties of the FFC material un- der the quasi-static compression,six FFC specimens of different expanded polystyrene (EPS) fractions (volume fraction) were manufactured to carry out the quasi-static compression experiments.Then,by analyzing the experi- mental data,the stress-strain curves were fitted by using sectional curves,and the relationships between the fitting parameters and the EPS fraction were determined.Finally,a constitutive model of the FFC material under the qua- si-static compression was constructed.The results show that (1) the stress-strain curve of the FFC material under the quasi-static uniaxial compression can be divided into three parts,namely,the elastic stage,the plastic platform stage and the densification stage; (2) the compressive strength of the FFC material decreases with the increase of the EPS fraction; and (3) the constructed constitutive model accords well with the experimental data，and can ac- curately describe the compressive mechanical properties of the FFC material of different EPS fractions．