The bearing capacity of old assembly slab bridges is reduced by component cracking, material aging, and structural damage. To avoid excessive dismantling of bridges with inadequate bearing capacity, the influence mechanism of overlaid pavement on existing assembly slab bridges was analyzed by theoretical analysis and numerical simulation in this study. The basic equation for assembly slab bridges was established by considering the bending resistance and shearing resistance of the overlaid pavement and based on the fundamental principle of force method. The formula for the vertical coordinate of the influence line of the transverse load distribution (TLD) was constructed using a half-sine unit load. On this basis, the variations in the vertical coordinate with rigidity, slab width, and bridge span were analyzed. Moreover, the influences of the overlaid layer thickness on assembly slab bridges with different spans (13, 16, and 20 m) were analyzed. Results show that the overlaid pavement can significantly affect the influence line of the TLD. The influence of the overlaid pavement on the TLD factor should be taken into account for assembly slab bridges with spans of 16 m or smaller. However, such influence is negligible for bridges with spans of 20 m or larger. The overlaid pavement can increase structural integrity and reduce the TLD factor to some extent. But an overlaid pavement thickness of more than 20 cm only slightly influences the TLD factor. The study can meet the demand of reconstruction of old bridges based on overlaid pavement. The proposed method solves issues related to the low bearing capacity of these old assembly slab bridges.