As　a　renormalizable　theory　of　gravity,　Horava-Lifshitz　gravity,　might　be　an　ultraviolet　completion　of　general　relativity　and　reduces　to　Einstein　gravity　with　a　nonvanishing　cosmological　constant　in　infrared.　Kehagias　and　Sfetsos　obtained　a　static　spherically　symmetric　black　hole　solution　called　KS　black　hole　in　the　IR　modified　Horava-Lifshitz　theory.　In　this　paper,　the　entropy　spectrum　and　area　spectrum　of　a　KS　black　hole　are　investigated　based　on　the　proposal　of　adiabatic　invariant　quantity.　By　calculating　the　action　of　producing　a　pair　of　particles　near　the　horizon,　it　is　obtained　that　the　action　of　the　system　is　exactly　equivalent　to　the　change　of　black　hole　entropy,　which　is　an　adiabatic　invariant　quantity.　With　the　help　of　Bohr-Sommerfeld　quantization　rule,　it　is　concluded　that　the　entropy　spectrum　is　discrete　and　equidistant　spaced　and　the　area　spectrum　is　not　equidistant　spaced,　which　depends　on　the　parameter　of　gravity　theory.　Some　summary　and　discussion　will　be　given　in　the　last.