The problem of radiation from a uniform bend of step‐index single‐mode fibers is analyzed in detail. Unlike the previous methods of approximate evaluation of the bending loss of fibers, a strict analysis of the radiated electromagnetic fields is performed. A detailed study of the electromagnetic fields, radiated in the neighborhood of the junction of straight and bend portions, which have not been studied fully so far, is performed here. The radiated field is expressed in integral form, using the mode field on the curved surface circumscribing the core in the cladding, and the far field expressions are determined using the stationary phase method. From these results, many factors that had not been clarified before such as the degree of contribution of mode field components and radiated power, the direction of travel of radiated light, and radiation patterns, etc., are evaluated in detail in addition to the evaluation of radiation losses with greater precision. Moreover, the numerical examples for the radiation from the starting portion of a bend in the curved fiber, and the radiation patterns in the fiber cross‐section plane when radiation is uniform, are also shown.