Suzaku observations of a TeV unidentified ( unID ) source , HESS J1745 - 303 , are presented . A possible excess of neutral iron line emission is discovered , and is likely associated with the main part of HESS J1745 - 303 , named “ region A ” . It may be an X-ray reflection nebula where the X-rays from previous Galactic Center ( GC ) activity are reflected by a molecular cloud . This result further strengthens the assumption that the molecular cloud which is spatially coincident with region A of HESS J1745 - 303 is located in the GC region . The TeV emission from molecular clouds is reminiscent of the diffuse TeV gamma-rays from the GC giant molecular clouds , and it could have the same emission mechanism . With deep exposure mapping observations by Suzaku , a tight upper-limit on the 2–10 keV continuum diffuse emission from region A is obtained , as 2.1 \times 10 ^ { -13 } ergs s ^ { -1 } cm ^ { -2 } . The flux ratio between 1–10 TeV and 2–10 keV is larger than 4 . Possible scenarios to reproduce wide-band spectra from keV to TeV are examined . Thermal X-rays from nearby two old supernova remnants , G359.0 - 0.9 and G359.1 - 0.5 , are detected , and their emission properties are well determined in the present study with deep exposure .