The time evolution of an initially localized mode in a one-dimensional latt
ice with off-diagonal nonlinearity disorder is studied by solving a modifie
d nonlinear Schrodinger equation. Absence of localization is found when the
nonlinearity parameter is beyond the self-trapping region for correspondin
g periodic lattice. The propagation of electrons shows ballistic behavior e
ven in the presence of disorder. When self-trapping occurs, the untrapped p
ortion still escapes ballistically.