  We derive a noncommutative U(1) and U(n) gauge theory on the fuzzy sphere
from a three dimensional matrix model by expanding the model around a classical
solution of the fuzzy sphere. Chern-Simons term is added in the matrix model to
make the fuzzy sphere as a classical solution of the model. Majorana mass term
is also added to make it supersymmetric. We consider two large $N$ limits, one
corresponding to a gauge theory on a commutative sphere and the other to that
on a noncommutative plane. We also investigate stability of the fuzzy sphere by
calculating one-loop effective action around classical solutions. In the final
part of this paper, we consider another matrix model which gives a
supersymmetric gauge theory on the fuzzy sphere. In this matrix model, only
Chern-Simons term is added and supersymmetry transformation is modified.
