The constituents of concrete have a crucial effect on early age cracks of pumping concrete. Based on early age cracking mechanism of pumping concrete, the influence of raw materials, which includes cement, coarse and fine aggregates, mix ratio, admixtures, mineral additives and fibers on cracks are analyzed. The results show that the extent of early age cracking varies with constituents of concrete. It is advised that the appropriate concrete materials should be selected in terms of specific engineering features, not only by the requirements of strength and slump. With regards to the projects that are required crack control strictly, the characteristics of pump construction should be considered and the appropriate composition of concrete, especially the types and dosage of admixtures, mineral additives and fibers, should be determined by experiments.