Abstarct: In this thesis, stress distribution around different regular hole in finite anisotropic plate under uniaxial loading is studied. The method employed is baxsed on the analytical solution of Lekhnitskii’s complex variable method and conformal mapping. With the assumption of plane stress conditions, also the finite plate (the ratio of the diameter of circumscribed circle of Polygon holes to biggest side of the plate is greater than 0.2) can be considered as anisotropic and linearly elastic. For solving the problem, the finite area with different shape of holes in z plan is mapped onto finite area outside a unite circle in ζ plan using the conformal mapping function. The stress function in finite plate with different hole shapes is presented by superposition of the stress function for an infinite plate with different shape of holes and ones for a finite plate without a hole. The unknown coefficients in stress function are obtained by using the least square boundary collocation method and applying the appropriate boundary conditions. The effects of hole geometry, hole curvature, hole orientation, angle of plate fiber, type of loading and plate’s aspect ratio as the effective parameters on the stress distribution have been investigated. The results baxsed on analytical solution are in a good agreement with the results obtained from other paper in finite and infinite plates. The results show that the analysis of the stress distribution in perforated plates that the ratio of the length of the biggest side of the hole to the smallest side of the plate is greater than 0.2, by using the infinite plate theory has a great error. Also by choosing the appropriate parameters can be reduced the amount of tension around holes and create the optimal plan.