In this work, a recently proposed technique: The point substitution displacement technique (PSDT) is extended to compute the accurate mode I notch stress intensity factors (NSIFs) of elastic bodies with straight and curve sharp V- notches. Certain optimal points on the notch flanks are identified using a least-squares technique where the displacements are found to be highly accurate. After that, the NSIFs are evaluated using the finite element (FE) displacements at these optimal points. The PSDT is applied to determine the NSIFs of various finite and infinite configurations weekend by different V-notch geometries: diamond and lens-shaped notches with different notch lengths and notch angles under uniaxial and biaxial loading conditions. The results obtained using the PSDT are compared with the available results, and good agreement of the present results with the published results is observed. New results of various notched configurations are also presented in this paper.In this work, a recently proposed technique: The point substitution displacement technique (PSDT) is extended to compute the accurate mode I notch stress intensity factors (NSIFs) of elastic bodies with straight and curve sharp V- notches. Certain optimal points on the notch flanks are identified using a least-squares technique where the displacements are found to be highly accurate. After that, the NSIFs are evaluated using the finite element (FE) displacements at these optimal points. The PSDT is applied to determine the NSIFs of various finite and infinite configurations weekend by different V-notch geometries: diamond and lens-shaped notches with different notch lengths and notch angles under uniaxial and biaxial loading conditions. The results obtained using the PSDT are compared with the available results, and good agreement of the present results with the published results is observed. New results of various notched configurations are also presented in this paper.