The invention relates to a device and a method for simultaneously testing the permeability of compact rocks under transient state and steady state, and belongs to the fields of rock engineering and unconventional oil and gas reservoir engineering. The testing device for simultaneously testing the permeability of the compact rocks under the transient state and the steady state comprises a three-shaft pressure chamber, a bias pressure control system, a confining pressure control system, an upper end permeating system, a lower end permeating system, a vacuum pumping system, a constant temperature system and a data controlling and collecting system. The method for simultaneously testing the permeability of the compact rocks under the transient state and the steady state comprises the following steps: demarcating the reference volume, providing the confining pressure and bias pressure temperature environment for a sample, and testing the permeability under the transient state and the permeability under the steady state. For the device and the method, the practical bias pressure, back pressure and constant temperature testing environment conforming to the engineering is provided, the fluctuation error of the temperature can be controlled within -0.1 DEG C to +0.1 DEG C, the volume error of the gas can be controlled within 0.3%, and the error of the injected pressure can be controlled within 0.5%. The test of the permeability under the transient state in constant pressure and constant volume ways can be simultaneously realized; when the permeability is tested in the constant volume way, the volume of a reference container can be adjusted according to the volume of a pore.