This paper presents the concept of the variable admittance network (VAN) with indirect energy supply for semiactively controlled systems and the admittance analysis of three basic VANs with indirect energy supply in resonance vibration control. A mechanical network is describable with the admittance, which includes the damping, stiffness, and inertance information. The VAN with variable admittance parameters is beneficial for the resonance vibration control of the suspension. However, according to the energy analysis, the variation of inertance and stiffness parameters without direct energy supply to compensate kinetic energy will cause the mechanical itemsʼ physical discontinuity as the inerter and spring can store kinetic energy. The variable damping (VD) device applies the indirect energy supply that is only related to the damping control but not to the exchange with kinetic energy. This paper proposes the VAN with indirect energy supply to achieve the VD, variable equivalent inertance (VEI), and variable equivalent stiffness (VES) characteristics by controlling a VAN with only the VD device in it. The vibration transmissibility of a suspension equipped with VD, VEI, and VES devices is investigated, respectively, to verify their effectiveness in resonance vibration control. The VAN with indirect energy supply is realizable in different applications; the admittance analysis method can facilitate the VAN design and optimization in practice.