We present the first sub-arcminute images of the Galactic Center above 10 keV , obtained with NuSTAR . NuSTAR resolves the hard X-ray source IGR J17456 - 2901 into non-thermal X-ray filaments , molecular clouds , point sources and a previously unknown central component of hard X-ray emission ( CHXE ) . NuSTAR detects four non-thermal X-ray filaments , extending the detection of their power-law spectra with \Gamma \sim 1.3 -2.3 up to \sim 50 keV . A morphological and spectral study of the filaments suggests that their origin may be heterogeneous , where previous studies suggested a common origin in young pulsar wind nebulae ( PWNe ) . NuSTAR detects non-thermal X-ray continuum emission spatially correlated with the 6.4 keV Fe K \alpha fluorescence line emission associated with two Sgr A molecular clouds : MC1 and the Bridge . Broad-band X-ray spectral analysis with a Monte-Carlo based X-ray reflection model self-consistently determined their intrinsic column density ( \sim 10 ^ { 23 } cm ^ { -2 } ) , primary X-ray spectra ( power-laws with \Gamma \sim 2 ) and set a lower limit of the X-ray luminosity of Sgr A* flare illuminating the Sgr A clouds to L _ { X } \gtrsim 10 ^ { 38 } erg s ^ { -1 } . Above \sim 20 keV , hard X-ray emission in the central 10 pc region around Sgr A* consists of the candidate PWN G359.95 - 0.04 and the CHXE , possibly resulting from an unresolved population of massive CVs with white dwarf masses M _ { WD } \sim 0.9 M _ { \odot } . Spectral energy distribution analysis suggests that G359.95 - 0.04 is likely the hard X-ray counterpart of the ultra-high gamma-ray source HESS J1745 - 290 , strongly favoring a leptonic origin of the GC TeV emission .