In　this　paper,　a　new　analytical　method　is　proposed　to　generate　concrete　random　aggregate　structure　(RAS)　in　meso-scopic　level.　This　method　is　particular　useful　for　the　progressive　failure　of　concrete　under　various　external　loads.　In　the　meso-mechanics　level,　the　concrete　is　taken　as　the　composite　material　consisting　of　aggregate,　mortar　and　interface　between　them.　As　a　result,　it　is　generated　a　random　aggregate　structure　in　which　the　shape,　size　and　distribution　of　the　aggregate　particles　resemble　real　concrete　in　the　statistical　sense　using　the　Monte　Carlo　random　sampling　principle　in　this　paper,　and　the　method　proposed　can　generate　both　regular　aggregate　particles　and　irregular　ones　in　2-Dimmension.　It　is　should　be　noted　that　vector　concept　and　some　controlling　measures　are　also　proposed　to　avoid　generating　aggregate　particles　not　consistent　with　real　ones.　Numerical　examples　are　simulated　to　validate　the　proposed　method　finally.