This paper aims to study the influence of randomness under human-induced load on the vibration response of footbridge structure. Firstly, four random walking models considering time-space multi-scale were proposed, and the dynamic equations under the excitation of random walking load were decoupled. Secondly, the peak acceleration response of each model, the number of residents on the bridge and the variation of the occupancy interval of the crowd were analyzed. Finally, the differences between different models were compared. The results show that the response range of the OAM is wide, which is prone to large vibration. When the peak acceleration of the footbridge occurs, the crowd load mainly acts on the mid-span position. The peak acceleration responses of the SDM, SAM and DEM all follow the normal distribution law, and the population is mainly distributed near the lower end of the bridge when the structure has the maximum response. The resident number of SDM is mainly the same as that of initial time. The resident number of DEM depends on the number of pedestrians in steady state, while Sam is relatively uniform. The four models considering the randomness of pedestrian walking can be used for vibration response analysis and comfort evaluation of human-induced footbridge.