  We present the relativistic analogue of Anderson localization in one
dimension. We use Dirac equation to calculate the transmission probability for
a spin-$\frac{1}{2}$ particle incident upon a rectangular barrier. Using the
transfer matrix formalism, we numerically compute the transmission probability
for the case of a large number of identical barriers spread randomly in one
dimension. The particular case when the incident particle has three component
momentum and shows spin-flip phenomena is also considered. Our calculations
suggest that the incident relativistic particle shows localization behaviour
similar to that of Anderson localization. A number of results which are
generalizations of the non-relativistic case are also obtained.
