Abstract: Nematic droplets are studied with Monte Carlo simulations with a modified Gruhn-Hess pair potential. The potential is spatially anisotropic and potential parameters are related to elastic constants K₁₁ ,K₂₂ ,K₃₃ and surface-like elastic constant K₁₃. It is assumed that nematic droplet surface is a free surface. Second order parameters and introrse intensity, which describes quantitatively intrinsic anchoring induced by surface at low temperatures, are calculated with a modified Gruhn-Hess pair potential and are compared with those in Gruhn-Hess model I. It is shown that the modified model with K₁₃ induces intrinsic anchoring near droplet surface, orientation and intrinsic anchoring strength depend strongly on K₁₃, and introrse intensity is related to K₃₃/K₁₁. Order degree of nematic droplet is lower from inner shell to outer shell due to incomplete anisotropic nematic-nematic interactions.