Abstract: 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.