The　integrity　of　concrete　structures　under　strong　earthquakes　and　the　stability　of　concrete　structures　with　cracks　are　concerns　of　national　security　strategies.　These　two　issues　are　closely　related　to　the　time-dependent　fracture　behavior　of　concrete.　The　time-domain　dependent　fracture　behavior　of　concrete　can　be　generalized　into　two　aspects:short-term　impact　fracture　under　dynamic　impact　load　and　long-term　steady-state　creep　fracture　failure.　Although　they　both　are　related　to　time,there　is　a　huge　difference　in　the　loading　time,which　leads　to　the　different　internal　mechanism　of　dynamic　failure　in　concrete.　Herein,the　development　history　and　main　achievements　of　time-dependent　fracture　model　of　concrete　are　reviewed,including　macroscopic　fracture　mechanics　model　and　method,mesoscopic　fracture　mechanics　model　and　method,dynamic　fracture,and　creep　fracture　behavior　of　concrete.　©　2021　Authors.　All　rights　reserved.