The primary cause of the failure in geomaterials under various loading conditions is strain localisation. Constraints due to boundary conditions and stress path governs both mechanical response and bifurcation characteristics of the material. Different stress paths impose distinct effects on the failure characteristics of the geomaterial. Hence, the stress path can play an important role in defining the nature of the localisation failure. This effect is not analysed in existing studies and will be attempted to demonstrate in this work utilising the non-positiveness of determinant of acoustic tensor to predict the onset of bifurcation. The constitutive material response and stress path is linked to the bifurcation criteria via the tangent stiffness matrix. This study presents a general approach to impose stress paths and employs the Modified Cam Clay model (MCC) as an example to illustrate the effect of stress path on the onset of localisation. Under triaxial conditions, results show wider and more realistic range of bifurcation zone, when compared with general approach with no effect of stress path constraint. Outcomes on triaxial conditions show strong effect of stress path on localisation, along with its importance in analysis of localisation and bifurcation in geomaterials.