The majority of the existing seismic protection systems and techniques are related to horizontal ground motions, while there are only a few vertical seismic protection systems. The main reason is due to the conflict concerning the demand for isolation stiffness. More specifically, a vertical isolated system must have sufficient vertical rigidity to sustain the weight of the isolated object/system and retain the static vertical deflection in reasonable limits. On the other hand, the isolated system must also have enough flexibility to isolate the accelerations. In order to overcome this difficulty, a novel vertical seismic absorber system is proposed, that combines a Quasi-Zero Stiffness (QZS) design including negative stiffness elements, an enhanced Tunned Mass Damper (TMD) and an inerter. The QZS oscillator manages to maintain the vertical rigidity of the structure, the inerter manages to reduce the frequency of the system, without weakening the structure or increase the seismic load and the TMD is responsible for absorbing the external excitations, significantly increasing the effective damping. This way, the dynamic behavior of the system is improved, in terms of absolute accelerations, and simultaneously, the static settlements are retained at any desired level. The design is based on engineering criteria, and the excitation input is selected according to the seismic design codes.