We used a Monte Carlo simulation of the structurally disordered three dimensional Ising model. For the systems with spin concentrations p = 0.95, 0.8, 0.6 and 0.5 we calculated the correlation-length critical exponent ν by finite-size scaling. Extrapolations to the thermodynamic limit yield ν(0.95) = 0.705(5), ν(0.8) = 0.711(6), ν(0.6) = 0.736(6) and ν(0.5) = 0.744(6). The analysis of the results demonstrates the nonuniversality of the critical behavior in the disordered Ising model.