The hole drilling strain gauge method is one of the most utilised techniques to determine residual stresses. The presence of eccentricity between the centre of the hole and its theoretical position can compromise the accuracy of the method. The present work proposes a method to correct the measured strains in eccentric holes in the case of non-uniform residual stresses. The depths where the strains are measured in the ASTM E837-13 are taken as reference and specific functions are proposed...