In this work, we studied the optical bistability of Fiber Bragg Grating (FBG) under nonlinear regime, considering three increasing and decreasing profiles of nonlinearity: linear, quadratic and exponential. We varied the nonlinearity range in each profile, and obtained different curves of bistability and reflectivity. We analyzed the powers Pup↑ and Pdown↓, as well as the width of the photonic band gap (Δ↑↓) of each device under different nonlinearity profiles, and we observed the changes in reflectivity of the FBG. The power intensities Pup↑ and Pdown↓ obtained for the bistability of decreasing profiles were lower than those obtained for the increasing profiles, and the values of Δ↑↓ were also lower in decreasing profiles, which is useful for optical switching applications.