A contact image-sensing module having fingerprint-scanning function is described. The image-sensing module has a flex/rigid composite substrate having a first rigid circuit substrate, a second rigid circuit substrate, a third rigid circuit substrate, and at least one flex circuit board. The first rigid circuit substrate, the second rigid circuit substrate, and the third rigid circuit substrate respectively and electrically connect to the flex circuit board in order to form a first composite substrate, a second composite substrate, and a third composite substrate. Each of the second composite substrate and the third composite substrate respectively is not located in the same plane and has a predetermined angle with respect to the plane where the first composite plane is located.