In wireless mesh network, links physically close to each other works by sharing limited wireless resource, and appropriate load-balanced routing is crucial for efficient use of bandwidth. Multipath routing is one of promising approaches for load-balanced routing, particularly offered load per a session is relatively high. Although many past studies on muti-path routing aim to distribute offered load to each path equally, it is not sufficient to avoid congestion. This paper presents adaptive per-route-load allocation scheme in multi-path routing, where load is determined depending on the difference of delay cost of each route. Simulation results confirm the usefulness of the proposed scheme both in terms of average delay and delay variance.