The bottom-up crack (BUC), one kind of reflective crack that initiates at the bottom of asphalt layer and propagates upwards, has become one of the major distresses of asphalt pavement. The Mode Ⅰ dominated bilinear cohesive zone model (CZM) after calibration was introduced into finite element (FE) model to simulate the BUC propagation in asphalt pavement under displacement load. The mechanism of crack propagation under different types of periodic load was analyzed based on two indexes from Mode Ⅰ dominated bilinear CZM. The FE model and corresponding periodic load were modified to limit the occurrence of top-down crack propagation. A combined method based on the developed model was adopted to predict the BUC propagation velocity at varied heights and the remaining life of pavement. The results showed that the acceleration of BUC propagation decreased with the crack tip height. Moreover, the predicted remaining life of pavement based on the proposed method was reasonable referring to the engineering design specifications.