Inthispaper,theso-calledlocallikelihoodmethodissuggestedforsolvingthechangepointproblemswhenthedataaredistributedasmultivariatenormal.Thedetectionproceduresproposednotonlyprovidestronglyeonsistentestimatesforthenumberandlocationsofthechangepoints,butalsosimplifysignificantlythecomputation.