In this paper, by expanding the Lekhnitiskii’s solution, the stress distribution around quasi-rectangular hole has been studied. Lekhnitiskii used complex variables analytic method for stress analysis of anisotropic plates with circular and elliptical hole. In order to extend the Lekhnitiskii’s analytical method for stress analysis of perforated symmetric laminates with non-circular holes, by means of conformal mapping, the area external to the hole can be represented by the area outside the unit circle. In this paper, try to study the effect of different parameters such as aspect ratio, stacking sequence, rotation angle of hole, bluntness and load angle on stress distribution around quasi-rectangular hole. The finite element method has been used to check the accuracy of analytical results. The analytical results are in good agreement with the numerical results. The results presented herein, indicated that the presented method can be used to determine accurately the stresses and stress concentration in composite plates with special shape cutouts .The results obtained clearly demonstrate the effect of these parameters on maximum stresses in perforated plates subjected to uni-axial tensile load. appropriate selection of bluntness and rotation angle of hole, can decrease stress concentration.