Very high energy (>100 GeV) gamma-ray emission has been detected for the first time from the composite supernova remnant G 0.9+0.1 using the HESS instrument. The source is detected with a significance of $≈$13$σ$, and a photon flux above 200 GeV of (5.7$±$0.7stat$±$1.2sys)$times$10-12 cm-2 s-1, making it one of the weakest sources ever detected at TeV energies. The photon spectrum is compatible with a power law (dN/dE ∝ E-$Γ$) with photon index $Γ$ = 2.40$±$0.11stat$±$0.20sys. The gamma-ray emission appears to originate in the plerionic core of the remnant, rather than the shell, and can be plausibly explained as inverse Compton scattering of relativistic electrons.