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In this paper, the energy density of plane gravitational wave is studied by using Einstein and Møller’s prescription of energy–momentum pseudotensors. The linearly polarized plane gravitational wave solution of Einstein field equation, which has been defined by Bondi et al., is represented by four kinds of different coordinates. The energy distributions of gravitational wave solution in Einstein and Møller’s prescription are obtained. Particularly, the energy component is zero in null coordinates.