A horn switch device for a steering wheel may include an airbag module mounted in an inner region of the steering wheel to perform pressing and restoring operations while being elastically supported by a plurality of horn springs, a link plate assembly mounted on a lower surface of the airbag module and including a plurality of link plates to facilitate a seesaw movement, a module-side horn contact point positioned at the fixed end portion of each link plate and toward the outside of the airbag module, and a wheel-side horn contact point positioned below the module-side horn contact point. A horn operation is produced when the wheel-side horn contact point contacts with the module-side horn contact point.