Compressive properties of concrete containing Ground Granulated Blast Furnace Slag(GGBFS) reinforced by polypropylene fibers were investigated on Φ101.6 mm×203.2 mm cylindrical specimens. Parameters under investigation were axial compressive strength, static elastic modulus, and poisson’s ratio. The instrumentation used comprised a compression testing machine, a compressometer, bearing plates, a LVDT setup connected with a computer data acquisition system, and data transfer devices. Results showed that polypropylene fibers decrease the compressive strength and static elastic modulus but increase poission’s ratio, while slag improves the compressive strength and static elastic modulus. The compatibility of acid polycarboxylate superplasticizer with cement is good. The Composition effects of polypropylene fibers, slag and acid polycarboxylate superplasticizer are significant. A new constitutive formulation was proposed based on experimental data, which is more suitable for polypropylene fiber reinforced concrete containing slag to describe the relationship between static elastic modulus and compressive strength. Scanning Electron Microscope(SEM) micrographs revealed that the resulted hydrated products have different morphologies, which influences the compression properties.