A simple and effective method is proposed for elastic stress analysis of an infinite plane including a regular polygon hole

subjected to symmetrical loading on the hole boundaries. The inner boundary of the hole is extended to far point where the magnitude of stresses is negligible. The outer area of the boundary consists of a semi-infinite plane body. The adjacent two semi-infinite plane bodies share a common domain

the extending boundary of one semi-infinite plane body stretching into another. With the values of loadings on the inner boundaries of the hole known and the traction on the boundaries stretching into other semi-infinite plane bodies firstly presumed

the stress distribution within the semi-infinite plane body can be calculated using the theory of elasticity. By symmetry

the traction on the two boundaries stretching into adjacent semi-infinite plane bodies can be calculated

and further modified with iteration method

and converge to analytical solutions. The presented method features straightforward computation process and high precision. The results of presented examples show that the stresses of engineering scale thus obtained by this method agree well with ones obtamed by function of complex variable method and finite element method; and the order of stress singularity near the corner of hole is also approximately equal to theoretical value.