A　new　method　with　a　random　multi-scale　mechanical　model　was　proposed　in　the　paper　to　analyze　the　macro　mechanical　properties　of　concrete　materials.　The　method　was　described　to　start　with　the　micro-scale　of　concrete,　and　the　Monte　Carlo　method　was　used　to　generate　the　random　aggregate　model　of　concrete　composed　of　aggregate　particles　and　the　mortar　matrices.　And　then,　the　finite　element　grid　was　meshed　based　on　a　characteristic　unit　dimension,　and　the　mesh　grid　was　projected　on　the　established　random　aggregate　model.　The　mechanical　properties　of　each　element　were　determined　by　an　equivalence　method　of　composite-materials.　The　macroscopic　stress-strain　relationship　and　the　deformation　of　concrete　specimen　under　uniaxial　tension　based　on　the　Random　multi-scale　mechanical　model　were　given　through　the　analysis,　and　the　analysis　results　showed　a　good　agreement　with　the　experiment　results.　The　method　proposed　in　the　paper　greatly　saves　computing　resources　with　high　efficiency,　compared　with　a　micromechanical　model.