This paper presents the response control of a 5-storey shear building subjected to earthquake loading by equipping negative stiffness device (NSD) supplemented with viscous fluid damper (VFD). Numerical modelling of the two control devices is done using the analytical expressions of the restoring forces generated by the corresponding devices. The equations of motion are formed for the three control strategies involving structure with NSD, structure with VFD and structure with NSD-VFD assembly. However, the control devices are initially implemented on the first storey and then gradually applied to all storeys. Newmark-beta method is performed to evaluate the responses of the structure under real earthquake ground motion. Two typical earthquakes, one far-field and another near-fault seismic excitation is applied to the structure. The numerical study shows that NSD can increase the time period of the structure by reducing the effective stiffness of the structure keeping the actual strength of the structure intact, thus results in notable decrease in floor acceleration and base shear responses. By supplementing VFD with the structure, the floor displacements can be controlled. Comparative study of the structural responses is presented for the considered control strategies. Incorporating the NSD-VFD combination results in a noteworthy reduction in structural responses, including floor displacement, acceleration and base shear.