The method of neutron stress diffractometry has been used to study a distribution of residual stresses in the stainless steel AISI 310S ribbon, of 100 μm thick and 4 mm wide, in three directions – along, across and perpendicular to rolling plane. The residual macro stresses averaged over the ribbon length of 40 cm are determined. The longitudinal, transverse and normal macro stresses are respectively –71±21 MPa, –31±16 MPa, and –11±16 MPa on one edge of the ribbon and +30±19 MPa, +64±16 MPa, and +30±16 MPa on the other edge. Such distribution of macro stresses compressing the ribbon on one edge and stretching it on the other edge is inherent for so-called crescent-shaped deformation of the ribbon – its bending in rolling plane along rolling direction. A correlation between the macro stresses magnitude and the micro stresses presence has been observed – the stronger macro stresses the higher concentration of micro stresses.