  The q-deformed fuzzy sphere $S_{qF}^2(N)$ is the algebra of
$(N+1)\times(N+1)$ dim. matrices, covariant with respect to the adjoint action
of $\uq$ and in the limit $q\to 1$, it reduces to the fuzzy sphere
$S_{F}^2(N)$. We construct the Dirac operator on the q-deformed fuzzy
sphere-$S_{qF}^{2}(N)$ using the spinor modules of $\uq$. We explicitly obtain
the zero modes and also calculate the spectrum for this Dirac operator. Using
this Dirac operator, we construct the $\uq$ invariant action for the spinor
fields on $S_{qF}^{2}(N)$ which are regularised and have only finite modes. We
analyse the spectrum for both $q$ being root of unity and real, showing
interesting features like its novel degeneracy. We also study various limits of
the parameter space (q, N) and recover the known spectrum in both fuzzy and
commutative sphere.
