This study investigates cellular negative stiffness honeycomb (NSH) structures in the prospect of energy absorption and vibration isolation. The energy absorption properties for different geometrical parameters have been investigated for a specific displacement in the range of linear compression. The force–displacement characteristics of NSH structures with various AM materials have been investigated using the finite element analysis method. The results have revealed the parametric relation of the NSH with the energy absorbed, specific energy absorption, stiffness, and compressive stress. The analysis highlights the NSH structures’ potential to enhance material efficiency and performance optimization, contributing to material and manufacturing engineering.