Abstract: In this paper an effort is made to review the investigations that have been made on the “stress analysis of an infinite plate with cut-outs”. A number of analytical and experimental techniques are available for stress analysis around the different types of cut-outs for different condition in an infinite plate, made up of different materials under different loading condition has been reported in this article. The methods compared are tabulated with their findings. Singularities of circular hole in rectangular plate and elliptical hole in rectangular plate are considered in present study.