The influence of ultrafine ground granulated blast furnace slag (UFS) and metakaolin (MK) on the chemical shrinkage, autogenous shrinkage and drying shrinkage of calcium sulfoaluminate (CSA)cement were studied. The results indicate that the addition of UFS and MK increases the internal relative humidity of cement paste. The chemical shrinkage, autogenous shrinkage and drying shrinkage of cement paste decrease with the increase of UFS and MK. The autogenous shrinkage can be predicted roughly by the internal relative humidity of cement paste. The incorporation of UFS and MK accelerate the early hydration of cement paste. The time for chemical shrinkage to reach peak value is ahead with the addition of UFS and MK. The autogenous shrinkage and drying shrinkage of the cement paste with 20% (mass fraction, the same below) UFS or 10%, 20% MK are less than that of the control sample. Among them, the autogenous shrinkage of cement paste at 7 d decreases by 42.21%, 35.89% and 63.73%, respectively, and the drying shrinkage at 7 d decreases by 24.89%, 16.42% and 30.87%, respectively. In addition, the pastes with MK show less chemical shrinkage, autogenous shrinkage and drying shrinkage than that of the pastes with the same content of UFS. The proportion of autogenous shrinkage to linear chemical shrinkage decreases with the increase of curing time, and decreases with the incorporation of UFS and MK.