Landau-Lifshitz-Bloch　equation　is　often　used　to　model　micromagnetic　phenomenon　under　high　temperature.　This　article　proves　the　existence　of　smooth　solutions　of　the　equation　in　R-2　and　R-3,　and　a　small　initial　value　condition　should　be　added　in　the　latter　case.　These　results　can　also　be　generalized　to　periodical　boundary　value　case.