A biometric authentication device including an infrared luminescent unit configured to emit infrared light with an infrared wavelength; a depth sensing unit configured to receive the infrared light reflected on a vein of an object placed within a preset distance of the depth sensing unit; a controller configured to control the depth sensing unit to obtain a first vein image of a first object and calculate a first distance value corresponding to a first distance between the depth sensing unit and the first object, and store the first vein image and the first distance value in a memory as registration information.