In this paper, an efficient method for the prediction of radiation from shielding enclosures using near-field scan data is presented. An identification block allows the location of radiation sources, regardless of their interference. It also allows finding physical models that can be substituted to these sources, giving the same radiation pattern as the one provided by the measurement data taken as reference. Once all the parameters of the physical model are found by an optimized genetic algorithm, the prediction block can predict the radiation at all space points in near/far field. This method is applied to the radiation from apertures of electromagnetic shielding enclosures, to quantify the disruptive impact of the enclosures, including circuits inside, when it is inserted in a complex environment. Numerical and experimental results are presented to demonstrate the validity and efficiency of the proposed approach.