The invention relates to an integrated measuring device for a permeability coefficient of a constant-variable water head, and a test method of the integrated measuring device for the permeability coefficient of the constant-variable water head. The integrated measuring device for the permeability coefficient of the constant-variable water head comprises a constant-variable water head pipeline, a medium storage sleeve, a water source supplement and power unit and other accessory devices; the constant-variable water head pipeline is divided into a constant water head pipeline and a variable water head pipeline, and comprises a transparent glass jar, a support frame, relevant pipeline valves and a connecting piece; the medium storage sleeve comprises an organic glass transparent sleeve, permeable stone, rubber pads and the like; the water source supplement and power unit comprises a water tank, a water inlet pipeline, valves, a connecting piece and a small water suction pump; the other accessory devices comprise a storage medium top sleeve, a bottom sleeve, a water collecting measuring cylinder, a water drainage pipeline, a single-axis test compressor and the like. Compared with the existing device, the device successfully realizes integrated test operation of the constant-variable water head and the accurate measurement of an epsilon-k relationship, thereby having great practicability for implementation of related research and practical engineering exploration.