In this paper， a dynamic vibration absorber with negative stiffness （DVA-NS） is proposed to control the rest tremor of human arm in order to effectively reduce the dynamic response transmitted to the forearm. Firstly， the coupling dynamic model of human arm with DVA-NS is established. Then， the amplitude-frequency response expressions of each joint positions are derived， and the optimal design parameters of the DVA-NS are determined by using the sequential quadratic programming algorithm. On this basis， the above optimal design parameters are used to calculate the dynamic response curves under sinusoidal and random excitations， respectively. For ease of comparison， the dynamic responses of the coupling dynamic systems without the DVA-NS and with traditional linear dynamic vibration absorber （LDVA） are also presented， respectively. The calculation results show that the suppression effect on dynamic responses of different joints induced by the rest tremor of human arm by using the DVA-NS is significantly better than that of traditional LDVA.