  We discuss how chiral fermions can appear in the type IIB matrix model, which
is considered to be a nonperturbative formulation of superstring theory. In
particular, we are concerned with a constructive definition of the theory, in
which we start with a finite-N configuration and take the large-N limit later
on. We point out that there exists a certain necessary condition which the
structure of the extra dimensions should satisfy. As an example, we consider a
previous proposal using intersecting branes and show that chiral fermions can
indeed be realized in four dimensions by introducing a matrix counterpart of
warped space-time. This is remarkable in view of the well-known difficulty in
realizing chiral fermions in lattice gauge theory.
