Data of non-steady flow in normal water injecting tests is always ignored and is also lack of well-established analytical method. However, it can provide significant information of fracture seepage and deformation. By introducing concepts in groundwater hydraulics, considering characteristics of facture behaviors, such as continuity of flow in a fracture, coupling effect of seepage and deformation, flow across factures and storage change of fracture water, the governing equation of non-steady flow in a group of facture under injecting tests is developed. In a simplified condition of constant parameters, the analytical solution of the model is obtained and applied to analyze the transient flow rate in an injecting test of some granite, then the transmissivity, storage coefficient and parameter of flow across factures are determined. Relationships between absorption rate, referenced hydraulic conductivity and actual hydraulic conductivity for injecting tests are interpreted.