In　this　paper,　the　Cramer-Rao　Bound　(CRB)　to　frequency　offsets　and　channel　impulse　response　estimation　of　Coordinate　on　Multiple　Point　downlink　transmission　system　(CoMP)　was　derived　for　optimal　training　sequence　design　at　first.　However,　the　optimal　sequence　design　criterion　based　on　CRB　was　too　complicated　as　the　factor　of　channel　impulse　response　and　frequency　offsets　can＇t　be　eliminated　in　this　criterion.　So　a　sub-optimal　design　criterion　based　on　minimum　Mean　Square　Error　(MSE)　was　proposed,　then　it　was　found　out　that　the　gauss　sequence　was　the　optimal　sequence　under　this　criterion.　The　numerical　simulation　verifies　the　theory　analysis　under　the　maximum　likelihood　(ML)　estimation.　The　results　show　that　the　estimation　performance　approach　CRB　quiet　well　and　gauss　sequence　outperform　other　sequences.