The search for very high energy (VHE) gamma-rays (E>100 GeV) from particle dark matter (DM) annihilation with imaging atmospheric Cherenkov telescopes (IACTs) has provided the most constraining limits on the velocity averaged annihilation cross section () in the TeV DM mass range. The DM density is expected to increase towards the centre of galaxies making them intersting targets for IACT observations aiming for the detection of a VHE gamma-ray flux from the annihilation of DM particles. Due to the proximity of the galactic centre (GC) region, IACTs currently obtain the best sensitivity on by observations of the GC galactic centre (GC) region.

IACT observations of the GC region with the High Energy Stereoscopic System (H.E.S.S.) have recently excluded the annihilation of DM particles with a mass around 1 TeV and larger than 3 10e-25 cm^3 s^{-1}. Thus, the sensitivity of IACTs to in the TeV DM mass range is one order of magnitude below the prediction for thermal relic DM particles. This contribution discusses new observation and analysis strategies for the search of VHE gamma-rays from particle DM annihilation towards the GC region. The results of realistic Monte Carlo studies for H.E.S.S. show that a significant improvement of the IACT sensitivity to is possible with new data taking and analysis methods.