The reasonable task sublet and schedule is necessary in the process of large road construction projects.As a matter of fact, the optimization of construction task scheduling relies on the available resource sets.However, the resource sets usually have different executive capabilities for the same tasks(i.e.the resource systems are heterogeneous), which has been neglected in current research.This paper proposes an algorithm named MHEFT for construction task sublet and schedule on heterogeneous resource system, which is based on DAG model and a heterogeneous resource system model.The results of the application and extended simulation experiments, which use the data of Chengxiang Road construction project in Nanxiang community in Shanghai, prove the effectiveness and robustness of MHEFT.