Electrical impedance tomography (EIT) is designed essentially for two-dimensional imaging, but current flow in the third dimension causes images to be formed for objects in 3D. The present work has shown that the image of an object is shifted in position towards the centre almost linearly with the 3D distance from the electrode plane and that the slope of this linear variation depends on the radial distance of the object. An empirical curve has been fitted to this dependence, based on which a method has been developed to locate 3D point objects from EIT measurements in only two planes. This will be useful in clinical and other applications in which 3D objects are few and widely separated. This new methodology may be the basis for 3D imaging in the future. Keywords: electrical impedance tomography, 3D imaging, 3D object localization