Using　hybrid　density　functional　theory,　we　investigated　the　structural,　electronic　and　elastic　properties　of　the　C14　NbCr2　Laves　phase　under　different　hydrostatic　pressures.　Our　results　for　the　structural　properties　are　consistent　with　calculated　and　experimental　results.　The　analysis　of　the　density　of　states　and　the　charge　difference　density　are　used　to　determine　the　underlying　structural　evolution　that　occurs　under　applied　pressure.　Hexagonal　NbCr2　is　mechanically　stable　according　to　the　elastic　stability　criteria　and　exhibits　low　ductility　according　to　the　B/G　ratio.　Moreover,　the　elastic　properties,　including　the　elastic　constants　and　elastic　moduli　are　studied　in　detail.　©　2013　Elsevier　Ltd.