  The q-deformed fuzzy Dirac and chirality operators on quantum fuzzy
four-sphere $ S^{4}_{qF} $. Using the q-deformed fuzzy Ginsparg-Wilson algebra,
it has been studied the q-deformed fuzzy Dirac and chirality operators in
instanton and no-instanton sector. Also, gauged Dirac and chirality operators
in both cases have been constructed. It has been showed that In each step our
results have correct commutative limit in the limit case when $
q\longrightarrow1 $ and noncommutative parameter $ l $ tends to infinity.
