The invention provides a monomer cylindrical multi-directional constant-stiffness all-metal vibration absorber which comprises a mounting shaft, an axial lower end limiting stopper, an axial upper end limiting stopper, an axial vibration reduction medium, a first shell, a second shell, a radial limiting stopper and a radial vibration reduction medium, wherein the axial and radial vibration reduction components are of mutually independent structures; the axial vibration reduction component is cylindrical; the radial vibration reduction component is annular; the axial vibration reduction component is arranged in the radial vibration reduction component. By virtue of the unique design method of the vibration reduction components, multi-directional constant stiffness can be realized, the purpose of ensuring mutually-independent axial and radial stiffness regulation can be achieved, and the axial and radial resonant frequency intercoupling problem is radically solved; by virtue of controlling the densities of the vibration reduction media in the vibration reduction components, the resonant frequency points can be accurately controlled, the difference between the axial resonant frequency and the radial resonant frequency is controlled within + / -0.5Hz, and the usage requirements of vehicles, ships, airplanes and rockets in various occasions and the requirements for the multi-directional constant-stiffness vibration isolation and long-term storage of various instruments are met.