  We have studied the presence of plateaus on the low-temperature magnetization
of an antiferromagnetic spin-1 chain, as an external uniform magnetic field is
varied. A crystal-field interaction is present in the model and the exchange
constants follow a random quenched (Bernoulli or Gaussian) distribution. Using
a transfer-matrix technique we calculate the largest Lyapunov exponent and,
from it, the magnetization at low temperatures as a function of the magnetic
field, for different values of the crystal-field and of the width of the
distributions. For the Bernoulli distribution, the number of plateaus
increases, with respect to the uniform case (F. Litaiff, J. R. de Sousa, and N.
S. Branco, Sol. St. Comm. {\bf 147}, 494 (2008)) and their presence can be
linked to different ground states, when the magnetic field is varied. For the
Gaussian distributions, the uniform scenario is maintained, for small widths,
but the plateaus structure disappears, as the width increases.
