Various types of criteria, under varying conditions, for the Nörlund summability of the derived fourier series have been previously obtainedby Hille and Tamarkin (1932), Astrachan (1936) and Prasad and Siddiqi (1950). In this paper quite a different and general type of criterion for the summability of the derived fourier series has been obtained. Where we shall consider a function f(x) of bounded variation integrable in the sense of Lebesgue, and periodic.