In this paper the current distribution within woven electroconductive textile sheets is investigated.The iterative method of solving very large resistor networks, which is used to model current density in textile sheets, is discussed. Factors taken into account are the conductivity of the fibres, the contact resistance between the fibres, the contact angle between the fibres and supply electrodes, as well as the size and aspect ratio of textile sheets. The influence of these factors on sheet resistivity is discussed. Maps of the current distribution generated with a computer program are included.