Concrete members cause long-term behavior with time due to shrinkage. If the members are restrained, shrinkage can result in cracks. In addition, this behavior is relaxed by the creep. The modulus of elasticity and tensile strength also change with time. In this study, the extended finite element method is used to predict shrinkage cracks and the outputs were compared with the results of experiment to verify the accuracy of the analysis. This study used an experiment method suggested in the standards of KS F 2595. The propagation of the cracks were described without the remeshing by the extended finite element method and variation of material properties and stress relaxation effects of creep with time were considered to the analysis. As a result, this method can predict similar strains and timing of crack occurrence to the results of the experiment. The shrinkage crack prediction method used in this study can be applicable to the evaluation of durability and usability of concrete members.