  A Dirac operator D on the standard Podles sphere is defined and investigated.
It yields a spectral triple such that |D|^{-z} is of trace class for Re z>0.
Commutators with the Dirac operator give the distinguished 2-dimensional
covariant differential calculus on the standard Podles sphere. The twisted
cyclic cocycle associated with the volume form of the differential calculus is
expressed by means of the Dirac operator.
