The regularities of early age tensile creep and compressive creep and theories of calculation method for creep stress are key factors for the crack prediction and prevention. Currently, the study on concrete creep focuses on matured concrete, while for early age concrete further study is still needed. The research status, test method and creep stress calculation method of compression and tensile creep for early age concrete are summarized in detail. The results demonstrate that: (1) At present, there is no standard for the test of tensile and compressive creep for early age concrete, and the test data is relatively short. (2) The nonlinear property at low stress level for early age concrete has not been considered in the creep prediction model. (3) The nonlinear creep stress analysis method for early age concrete structures is inadequate. Based on systematically experimental research and solidification creep theory, the nonlinear creep model for early age concrete can be established. With early age tensile creep and compressive nonlinear creep stress considered, finite element simulation accuracy of early age structure should be improved.