We report new searches for the solar axions and galactic axion-like dark matter particles , using the first low-background data from PandaX-II experiment at China Jinping Underground Laboratory , corresponding to a total exposure of about 2.7 \times 10 ^ { 4 } kg \cdot day . No solar axion or galactic axion-like dark matter particle candidate has been identified . The upper limit on the axion-electron coupling ( g _ { Ae } ) from the solar flux is found to be about 4.35 \times 10 ^ { -12 } in mass range from 10 ^ { -5 } to 1 keV/ c ^ { 2 } with 90 % confidence level , similar to the recent LUX result . We also report a new best limit from the ^ { 57 } Fe de-excitation . On the other hand , the upper limit from the galactic axions is on the order of 10 ^ { -13 } in the mass range from 1 keV/ c ^ { 2 } to 10 keV/ c ^ { 2 } with 90 % confidence level , slightly improved compared with the LUX .