The radiative decay Lambda(1520) --> Lambda gamma was measured directly in the study of exclusive diffractive-like reaction p + N --> Lambda(1520) K^+ + N, Lambda(1520) --> Lambda gamma with the SPHINX spectrometer. The values of the branching and partial width of this radiative decay were obtained: BR[Lambda(1520) --> Lambda gamma] = (1.02+/-0.21(stat)+/-0.15(syst))x10^{-2} and Gamma[Lambda(1520) --> Lambda gamma] = 159+/-33(stat)+/-26(syst) keV.