In project management practice, activity arrangement and material supply interact and restrict each other, and simultaneous planning of these two decision items is of critical importance. The project scheduling and material ordering problem(PSMOP) aims at generating a coordinated project schedule and material procurement plan with the objectives of total cost minimization, net present value maximization, project duration minimization, etc. Due to the theoretical values and the application prospects, the PSMOP has received extensive attention from both academic and industrial fields in recent years. Therefore, a literature review of the research on the integrated project scheduling and material ordering problem is proposed. Firstly, the common objective functions of the PSMOP are introduced. Secondly, the research progress of the integrated optimization problem under both certain and uncertain environments is reviewed according to different problem characteristics. Thirdly, the algorithms for solving the PSMOP together with its application in the practical area are summarized. Finally, some future research directions are presented.