Abstract: The principles of 2.5 dimension polygon interactive inversion in magnetic exploratory data in the area of the burnt coal are elaborated.The regularities of the thermo-remnent magnetism intensity of combustion-metamorphic rocks changed by coal's burning are analyzed,and the model of mutative magnetization related to the depth is established.Therefore,with the result of the second order approach part of wavelet multi-scale analysis,aborative operation by 2.5 dimension polygon for plane prism interactive inversion is carried on actual magnetic exploratory data of a coalfield.It is indicated that magnetic anomaly dealt with this method reflects the obliquity,buried depth and idiographic shape of the burnt coal more exactly.