Studies　on　the　biaxial　strength　criterion　provide　a　significant　theoretical　basis　for　the　exploration　of　concrete　material＇s　biaxial　and　multiaxial　mechanical　properties.　In　this　study,　mesoscopic　modeling　of　concrete　cube　specimens　with　an　average　compressive　strength　of　30　MPa　was　established.　Numerical　experiments　were　performed　under　dynamic　biaxial　conditions　with　different　strain　rates　(research　scope:　10(-5)　s(-1)-1　s(-1))　and　lateral　stress　ratios　(research　scope:　0-1　in　biaxial　compression　loads　and　-1-0　in　biaxial　tension-compression　loads).　The　effects　of　strain　rate　and　lateral　stress　ratio　on　the　dynamic　biaxial　strength　of　concrete　were　studied.　Based　on　multi-parameter　analysis,　a　universal　static-dynamic　biaxial　strength　criterion　of　concrete　material　was　established.　The　proposed　strength　criterion　breaks　through　the　limitations　of　traditional　physical　test　conditions　and　provides　a　higher　application　range　for　strain　rate　(10(-5)　s(-1)-1　s(-1))　and　lateral　stress　ratio.　In　addition,　the　proposed　criterion　has　a　more　concise　expression,　which　is　more　convenient　for　engineering　applications.　Moreover,　the　influence　of　various　parameters　on　concrete　strength　was　considered　and　coupled.　Finally,　the　accuracy　and　applicability　of　the　established　strength　criterion　were　verified　by　comparing　the　predicted　dynamic　biaxial　compressive　strengths　under　different　loading　conditions　with　four　sets　of　experimental　results.　The　comparisons　indicate　that　the　predicted　strength　criterion　surface　agrees　with　test　results　for　a　wide　range　of　loading　conditions　from　biaxial　compression　to　biaxial　tension-compression.　The　dynamic　strength　criterion　provides　new　insights　for　concrete　mechanical　investigation　and　engineering　structure　designing.　(C)　2022　American　Society　of　Civil　Engineers.