In order to make time domain airborne electromagnetics response data fast interpret，the response data are transformed from time domain to  domain and the poles and residues are extracted，which represent the geometric and physical characteristics of the targets investigate. The induced electromotive force are represented as the matrices which are decomposed to construct a matrix pencil,which are based on matrix pencil method.The parameter estimation is carried out by using the Singular Value Decomposition and the Least Squares Method.The results of forward and theory response data reconstruction have shown that the extracted poles and residues can be described the main characteris of the transient response，and random noise are restrained in some degree.That is, this practical method can be provide to fast time domain airborne electromagnetics data interpretation.