Light trapping in homogeneous media with saturable nonlinearity is examined. Trapping of light is found to be possible in any saturable nonlinear material so long as its maximum allowed refractive-index change is positive. However, quite different from Kerr nonlinearity, trapping powers of trapped light in a saturable nonlinear medium can depend sensitively on the effective propagation constant of the trapped modes and the maximum allowed intensity-induced refractive-index change.