In this paper, the tension in an orthotropic strip with a circular hole, which has practical importance, is treated. The solution of the same subject for isotropic material, has been presented by R.C.J. Howland and lately improved by M. Isida to study the stresses in a strip with an elliptic hole by the use of orthogonal co-ordinates. In this paper, the same methods are adopted to express the free edge conditions at the rim of the strip and of the circular hole and the stresses are given in the form of the power series of λ which is the ratio of the radius of the circular hole to the half breadth of the strip.