  We study the index of the Ginsparg-Wilson Dirac operator on a noncommutative
torus numerically. To do this, we first formulate an admissibility condition
which suppresses the fluctuation of gauge fields sufficiently small. Assuming
this condition, we generate gauge configurations randomly, and find various
configurations with nontrivial indices. We show one example of configurations
with index 1 explicitly. This result provides the first evidence that
nontrivial indices can be naturally defined on the noncommutative torus by
utilizing the Ginsparg-Wilson relation and the admissibility condition.
