Using　the　energy　balance　relationship,　a　toughness-based　crack　initiation-propagation　criterion　using　a　modified　fracture　energy　parameter　is　proposed　in　this　paper　for　quasi-brittle　materials.　Validation　of　the　proposed　crack　initiation-propagation　criterion　is　carried　out　by　performing　three-point　bending　beam　tests　through　finite　element　analysis.　The　classical　crack　initiationpropagation　criterion　with　the　fracture　energy　parameter　is　directly　used,　and　better　consistencies　between　the　mechanical　responses　(P-Delta　curves,　P-CMOD　curves,　FPZ　length　variation,　KR　curves)　obtained　by　the　modified　fracture　energy-based　crack　propagation　criterion　and　those　obtained　by　experimental　means　are　found.　It　should　be　emphasized　that　the　ratio　of　elastic　energy　has　an　important　inluence　on　the　value　of　fracture　energy　involved　in　the　crack　initiationpropagation　criterion.　By　this　paper,　it　is　found　that　introduction　of　the　modified　fracture　energy　in　the　toughness-based　crack　initiation-propagation　criterion　is　necessary　for　getting　better　estimations　of　mechanical　responses　for　crack　initiation　and　growth　analysis　in　quasi-brittle　materials　such　as　concretes.