In July 2012, as the four ground based gamma-ray telescopes of the H.E.S.S. (High Energy Stereoscopic System) array reached their tenth year of operation in Khomas Highlands, Namibia, a fifth telescope Look its first data as part of the system. This new Cherenkov detector, comprising a 614.5 m(2) reflector with a highly pixelized camera in its focal plane, improves the sensitivity of the current array by a factor two and extends ifs energy domain down to a few Lens of GeV. The present part l of the paper gives a detailed description of the fifth H.E.S.S. telescope's camera, presenting the details of both the hardware and the software, emphasizing the main improvements as compared to previous H.E.S.S. camera technology.