In a touch sensing device of a capacitive type, touch coordinates are obtained according to a detected signal corresponding to a variation in a mutual capacitance between an X-electrode and a Y-electrode due to a finger touch in each combination of a plurality of X-electrodes and a plurality of Y-electrodes within a sensing area. The theoretical value of the detected signal in each combination of the X-electrodes an the Y-electrodes approximately expressed by a two-dimensional Gaussian function. The touch coordinates are identified correctly by finding the optimal solution of the object function which expresses the sum of squared differences between each of the theoretical signal value and the detected signal value.