The X-ray observation of AM Her in a very low state was performed with Suzaku in October 2008 . One flare event with a time scale of \sim 3700 sec was detected at the X-ray luminosity of 6.0 \times 10 ^ { 29 } { ~ { } erg~ { } sec } ^ { -1 } in the 0.5 – 10 keV band assuming at a distance of 91 pc . The X-ray spectrum is represented by a thermal plasma emission model with a temperature of 8.67 _ { -1.14 } ^ { +1.31 } keV . During the quiescence out of the flare interval , Suzaku also detected significant X-rays at a luminosity of 1.7 \times 10 ^ { 29 } { ~ { } erg~ { } sec } ^ { -1 } in the 0.5 – 10 keV band , showing a clear spin modulation at a period of 0.1289273 ( 2 ) days at BJD 2454771.581 . The X-ray spectra in the quiescence were represented by a MEKAL + Power Law ( PL ) model or a single CEMEKL model , which are also supported by phase-resolved analyses . A correlation between the temperature and the volume emission measure was found together with historical X-ray measurements of AM Her in various states . In order to account for a possible non-thermal emission from AM Her , particle acceleration mechanisms in the AM Her system are also discussed , including a new proposal of a shock acceleration process on the top of the accretion column .