ABSTRACT: An investigation of the forced small three-dimensional vibrations of an asymmetrical body hanging from three mutually perpendicular coil springs is presented in the current paper. The forced vibrations are caused by harmonic changing excitation force. The three-dimensional behavior of the coil springs is taken into consideration. Dissipation from internal friction in all elastic elements is reduced by corresponding coefficients of hydraulic friction. All analytical equations in the study are presented in a matrix form. Amplitude frequency and phase frequency characteristics for all generalized coordinates are defined. The numerical solution is done by a special program in the MatLab environment. The study is intended for specialists in the field of vibrations and protection from vibrations.