Theobjectofthispaperistostudythenon-tangentialincreasingpropertiesofpositiveharmonicfunctionuinLipschitzdomainbymeansofMartinrepresentationtheory,Anecessaryandsufficientconditionofthecontrolofgrowthofunearanyfixedboundarypointisobtained.Itisshownthatthenon-tangentialincreasingdegreeofunearaboundarypointisexactlythelocaldegreeofitsrepresentationmeasurewithrespecttotheharmonicmeasure.Someexanlplesaregiven.