Abstarct: In this thesis, stress distribution around a different regular holes in finite isotropic plate under uniaxial loading is studied. With the assumption of plane stress conditions, the method employed is baxsed on the analytical solution of Muskhelishvili’s complex variable method and conformal mapping. The finite plate (the ratio of the side length of the triangular hole and square hole and the diameter of circumscribed circle of Polygon holes to biggest side of the plate is greater than 0.2) can be considered as isotropic 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 shape of holes 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 effect of hole curvature, hole orientation, plate’s aspect ratio, hole size, type of loading as the effective parameters on the stress distribution has been investigated. by choosing the appropriate parameters can be reduced the amount of tension around holes and create the optimal plan. The results baxsed on analytical solution are in a good agreement with the results obtained from the finite element method using Abaqus software and result of 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.