A straight-shaped Ti-Ni shape memory alloy (SMA) element shows negative stiffness during postbuckling deformation, and the buckling deformation is recovered with unloading due to the shape memory properties (superelastic behavior). This negative stiffness and shape recovery properties are applied to a passive vibration isolator using a zero-stiffness structure. We devised and fabricated the passive vibration isolator using the negative stiffness of tape-shaped SMA element, and this isolator shows the excellent vibration characteristic. However, control of the magnitude of the negative stiffness of the SMA element during post-buckling deformation is necessary for this isolator. In previous our studies, the variation of tangential stiffness of SMA element during post-buckling deformation is thought to be due to the variation of the volume fraction of martensitic-phase during post-buckling deformation by Three-dimensional finite element method (3D-FEM) analyses. In this study, effects of the volume fraction of martensitic-phase during buckling deformation on post-buckling behavior of tape-shaped SMA element are investigated by actual buckling tests for tape-shaped SMA elements with various length and 3D-FEM analyses. The results of buckling tests and 3D-FEM analyses suggest that the increase of the negative tangential stiffness during post-buckling deformation is due to the increase in the rate of increase of the volume fraction of the martensitic-phase during buckling deformation.