This paper presents an analytical solution for an infinite strip having an eccentric circular hole when the strip is subjected to tension at infinity. The analysis is based on the Papcovich-Neuber potential approach and the solution is obtained by the proper combination of harmonic function in integral forms and infinite series. The boundary conditions both on edge of the strip and on the hole are satisfied using the relations between the polar and Cartesian harmonics. The numerical results obtained are compared with those of existing solutions. A detailed stresses around the hole are illustrated for various sizes of the eccentricity and the hole.