The　meso-structure　of　concrete,　which　determines　its　apparent　performance,　is　closely　related　to　the　maximum　aggregate　size　(MAS)　and　aggregate　volume.　At　cryogenic　temperatures,　due　to　the　freezing　of　pore　water,　the　internal　structure　of　concrete　is　changed,　leading　to　some　difference　in　the　role　of　coarse　aggregate　particles.　In　this　study,　the　meso-mechanical　modeling　method　was　adopted　based　on　the　continuous　grading　aggregate　model　to　investigate　the　influence　of　content　and　size　of　aggregate　at　cryogenic　temperatures.　The　uniaxial　compressive　and　uniaxial　tensile　behavior　of　concrete　cubic　specimens　(sized　by　150　×　150　×　150　mm3)　with　various　aggregate　volumes　(15　%　∼　45　%)　and　MAS　values　(12　mm　∼　36　mm)　were　simulated　with　consideration　of　cryogenic　temperatures　effects.　The　variation　of　compressive　strength,　tensile　strength,　elastic　modulus,　and　fracture　to　energy　with　maximum　aggregate　size　and　aggregate　volume　fractions　at　cryogenic　temperatures　was　investigated,　and　the　related　influencing　mechanism　was　analyzed.　The　numerical　results　demonstrated　that　the　failure　patterns　of　specimens　at　cryogenic　temperature　show　some　differences　compared　with　those　at　ambient　temperature.　Besides,　it　was　indicated　that　the　effect　of　maximum　aggregate　size　and　aggregate　volume　on　the　elastic　modulus　and　the　energy　to　fracture　is　consistent　with　those　at　ambient　temperature.　At　cryogenic　temperatures,　the　compressive　strength　is　improved　with　the　increase　of　maximum　aggregate　size.　For　the　smaller　aggregate　volume　fraction　(15　%　∼　30　%),　the　tensile　strength　at　cryogenic　temperatures　tends　to　increase　as　the　increase　of　maximum　aggregate　size,　while　an　opposite　trend　appeared　at　larger　aggregate　volume.　Additionally,　as　the　increase　of　aggregate　volume　fractions,　the　compressive　strength　decreases　first　and　then　increases　at　cryogenic　temperatures,　while　the　tensile　strength　and　elastic　modulus　exhibit　a　trend　of　increase.　It　is　concluded　that　cryogenic　temperatures　can　enhance　the　influence　of　maximum　aggregate　size　on　tensile　strength,　but　weaken　the　influence　of　aggregate　volume　fractions　on　strengths.　©　2022　Elsevier　Ltd