The　meso-element　equivalent　method　(MEEM),　is　developed　in　the　study　to　investigate　the　damage　process　and　the　macro-mechanical　properties　of　concrete.　The　Monte　Carlo　method　is　adopted　to　generate　the　random　aggregate　structure　(RAS)　firstly,　and　then　the　characteristic　element　size　is　applied　to　divide　the　RAS　into　many　identical　units.　Each　unit　obtained　is　processed　equivalently　to　be　a　homogeneous　and　isotropic　unit　by　the　homogenization　theory.　Some　concrete　specimens　in　2-D　and　3-D　are　undertaken　to　verify　the　feasibility　and　accuracy　of　the　proposed　approach.　The　results　indicate　the　high　efficiency　and　accuracy　of　the　present　methodology.