  We investigate quantum phase transitions in one-dimensional quantum
disordered lattice models, the Anderson model and the Aubry-Andr\'{e} model,
from the fidelity susceptibility approach. First, we find that the fidelity
susceptibility and the generalized adiabatic susceptibility are maximum at the
quantum critical points of the disordered models, through which one can locate
the quantum critical point in disordered lattice models. Second, finite-size
scaling analysis of the fidelity susceptibility and of the generalized
adiabatic susceptibility show that the correlation length critical exponent and
the dynamical critical exponent at the quantum critical point of the
one-dimensional Anderson model are respectively 2/3 and 2 and of the
Aubry-Andr\'{e} model are respectively 1 and 2.375. Thus the quantum phase
transitions in the Anderson model and in the Aubry-Andr\'{e} model are of
different universality classes. Because the fidelity susceptibility and the
generalized adiabatic susceptibility are directly connected to the dynamical
structure factor which are experimentally accessible in the linear response
regime, the fidelity susceptibility in quantum disordered systems may be
observed experimentally in near future.
