We investigate the magnetotelluric response of two-dimensional bodies, characterized by the presence of low-frequency dispersion phenomena of the electrical parameters. The Cole-Cole dispersion model is assumed to represent the frequency dependence of the 'impedivity' complex function, defined as the inverse of Stoyer's 'admittivity' complex parameter. To simulate real geological situations, we consider three structural models, representing a sedimentary basin, a geothermal system and a magma chamber, assumed to be partially or totally dispersive. From a detailed study of the frequency and space behaviours of the magnetotelluric parameters, taking known non-dispersive results as reference, we outline the main peculiarities of the local distortion effects, caused b-v the presence of dispersion in the target media. Finally, we discuss the interpretative errors which can be made by neglecting the dispersion phenomena. The apparent dispersion function, which was defined in a previous paper to describe similar effects in the one-dimensional case, is again used as a reliable indicator of location, shape and spatial extent of the dispersive bodies. The general result of this study is a marked improvement in the resolution por'ver of the magnetotelluric method. lntroduction A great variety of laboratory and field experiments, carried out in different physical and geological conditions, have clearly revealed that the electrical properties ofrocks very often depend, to a greater or lesser extent, on the time and frequencl, behaviour of the exciting (natural or artificial) electromagnetic (EM) fields. Resistivity, which is the chief parameter in most conventional EM prospecting methods, and, for the purpose of this article, variable-frequency input fields, are both usually included in the categor-v of dispersion phenomena.