Context : Aims : The supernova remnant ( SNR ) complex CTBÂ 37 is an interesting candidate for observations with Very High Energy ( VHE ) \gamma -ray telescopes such as H.E.S.S . In this region , three SNRs are seen . One of them is potentially associated with several molecular clouds , a circumstance that can be used to probe the acceleration of hadronic cosmic rays . Methods : This region was observed with the H.E.S.S . Cherenkov telescopes and the data were analyzed with standard H.E.S.S . procedures . Recent X-ray observations with Chandra and XMM-Newton were used to search for X-ray counterparts . Results : The discovery of a new VHE \gamma -ray source HESSÂ J1714-385 coincident with the remnant CTBÂ 37A is reported . The energy spectrum is well described by a power-law with a photon index of \Gamma = 2.30 \pm 0.13 and a differential flux at 1Â TeV of \Phi _ { 0 } = ( 8.7 \pm 1.0 _ { \mathrm { stat } } \pm 1.8 _ { \mathrm { sys } } ) \times 10 ^ { -13 } % \text { cm } ^ { -2 } \text { s } ^ { -1 } \text { TeV } ^ { -1 } . The integrated flux above 1Â TeV is equivalent to 3 % of the flux of the Crab nebula above the same energy . This VHE \gamma -ray source is a counterpart candidate for the unidentified EGRET source 3EGÂ J1714-3857 . The observed VHE emission is consistent with the molecular gas distribution around CTBÂ 37A ; a close match is expected in a hadronic scenario for \gamma -ray production . The X-ray observations reveal the presence of thermal X-rays from the NE part of the SNR . In the NW part of the remnant , an extended non-thermal X-ray source , CXOUÂ J171419.8-383023 , is discovered as well . Possible connections of the X-ray emission to the newly found VHE source are discussed . Conclusions :