We examine the localization properties of the Anderson Hamiltonian with add
itional off-diagonal disorder using the transfer-matrix method and finite-s
ize scaling. We compute the localization lengths and study the metal-insula
tor transition (MIT) as a function of diagonal disorder, as well as its ene
rgy dependence. Furthermore we investigate the different influence of odd a
nd even system sizes on the localization properties in quasi one-dimensiona
l systems. Applying the finite-size scaling approach in conjunction with a
nonlinear fitting procedure yields the critical parameters of the MIT. In t
hree dimensions, we find that the resulting critical exponent of the locali
zation length agrees with the exponent for the Anderson model with pure dia
gonal disorder.