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This paper presents the finite element analysis (FEA) of Miura origami structure under the uniaxial compressive loading condition. The FEA model is developed under elastic-perfectly plastic material. Investigation on the compressive deformation characteristic and elastic modulus with three varied parameters, i.e. angle, thickness, and density of the Miura origami structure is conducted. The Abaqus software is used to conduct the simulation of compression test. The simulation result is then compared with and examined to the experimental data. The results of the analysis can be used for predicting the mechanical behavior of origami-shaped structure such as for designing an impact energy absorber and vibration damper.