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The Generalized Polarization Tensors (GPT) is a series of tensors which contain informations on the shape of a domain and its material parameters.The aim of this paper is to provide a method of constructing GPT-vanishing structures using shape derivative for two-dimensional conductivity or anti-plane elasticity problem.We assume a multi-coating geometry as a candidate of GPT-vanishing structure.We define a cost functional to minimize GPT and compute the shape derivative of this functional deriving an asymptotic expansion of the perturbations of the GPTs due to a small deformation of interfaces of the structure.We present some numerical examples of GPT-vanishing structures for several different shaped inclusions.