Cantilevered cylindrical shells subjected to a transverse shearing force at its tip have the possibility that two types of buckling such as the shear buckling and the local buckling, which appears at the lower part of the shell, may occur. The purpose of the paper is to present an analytical method for the local buckling in consideration of ovalisation of the circular cross section. Even though the axial stresses are a maximum at the supports, the local buckling appears in the lower part apart from the support. The reason, which is adopted in the paper, is that non-circular cross section after ovalisation provides the larger local radius of curvature which decreases the critical stress for the local buckling. The paper is consisted of (1) Objective of the paper, (2) Ovalisation and Load-Displacement Relation, (3) Criterion for Local Buckling, (4) Numerical Analyses and (5) Conclusion. In the section 4, numerical results of the buckling load, the magnitude of ovalisation, the position of the occurrence of buckling, etc. are shown in figures for cylinders with the length-radius rations from 5 to 10 as well as with the thickness-radius ratios from 100 to 1000.