Beam-to-column　connections　in　steel　moment　resisting　frames　may　suffer　extremely　low　cycle　fatigue　(ELCF)　during　earthquakes.　The　cyclic　void　growth　model　(CVGM),　a　micro-mechanics　based　fracture　model,　was　adopted　to　predict　ELCF　fracture　of　the　beam-to-column　connections.　The　validity　of　the　model　was　verified　by　the　experimental　results　of　nine　full-scale　connection　tests.　In　addition,　refined　finite　element　model　was　employed　to　simulate　the　cyclic　behaviors　of　the　connection　tests,　and　the　CVGM　fracture　index　was　calculated　based　on　the　stress　and　strain　time　histories.　The　number　of　cycles　and　the　cumulative　deformations　to　ELCF　fracture　predicted　by　CVGM　agreed　well　with　the　experimental　results.　The　presented　methodology　showed　reasonable　good　accuracy　to　predict　ELCF　fracture　of　beam-to-column　connection　under　inelastic　cyclic　loadings.　(C)　2012　Elsevier　Ltd.　All　rights　reserved.