We have investigated the X-ray and \gamma - ray properties of the redback millisecond pulsar PSR J1723-2837 with XMM-Newton , Chandra and Fermi . We have discovered the X-ray orbital modulation of this binary system with the minimum that coincides with the phases of radio eclipse . The X-ray emission is clearly non-thermal in nature which can be well described by a simple power-law with a photon index of \sim 1.2 . The phase-averaged luminosity is \sim 9 \times 10 ^ { 31 } erg/s in 0.3-10 keV which consumes \sim 0.2 \% of the spin-down power . We have detected the \gamma - ray emission in 0.1 - 300 GeV from this system at a significance of \sim 6 \sigma for the first time . The \gamma - rays in this energy range consumes \sim 2 \% of the spin-down power and can be modeled by a power-law with a photon index of \sim 2.6 . We discuss the high energy properties of the new redback in the context of an intrabinary shock model .