  Observations by the H.E.S.S. system of imaging atmospheric Cherenkov
telescopes provide the most sensitive measurements of the Galactic Centre
region in the energy range 150 GeV - 30 TeV. The vicinity of the kinetic centre
of our galaxy harbours numerous objects which could potentially accelerate
particles to very high energies (VHE, > 100 GeV) and thus produce the Gamma-ray
flux observed. Within statistical and systematic errors, the centroid of the
point-like emission measured by H.E.S.S. was found to be in good agreement with
the position of the supermassive black hole Sgr A* and the recently discovered
PWN candidate G359.95-0.04. Given a systematic pointing error of about 30'', a
possible association with the SNR Sgr A East could not be ruled out with the
2004 H.E.S.S. data. In this contribution an update is given on the position of
the H.E.S.S. Galactic Centre source using 2005/2006 data. The systematic
pointing error is reduced to 6'' per axis using guiding telescopes for pointing
corrections, making it possible to exclude with high significance Sgr A East as
the source of the VHE Gamma-Rays.
