Prediction of cement compressive strength was studied with accelerated curing methods, e.g. warm water and boiling water curing. The results indicate that fineness and the type of cements is few influencing on the 28-day compressive strength, and the difference is not distinct between the two methods. The boiling water fast-curing method is recommended since it doesn’t need additional equipments and has the advantage of convenient and high-speed. The prediction equation adopts linear model, and robust estimation of parameters is also applied to eliminate influences of outliers.