A lace-like structure of a hive-shaped Venetian blind comprises a blind body made up of a plurality of wave-like arc slats paired up into oval-shaped blind units in cross section. Each wave-like arc slat has a pair of extended flanges disposed at the front and rear sides thereof. Rollers with lace-producing convex edges disposed thereon are adapted to clamp tight the extended flanges thereof and synchronically seal up the pair-up wave-like arc slats via ultrasonic welding art with lace-like patterns cut at the extended flanges thereon via the lace-producing convex edges thereof. Thus, via the lace-producing rollers, the blind body thereof are automatically and synchronically assembled in ready and speedy manner to provide a Venetian blind with lace-like patterns disposed at the front and rear sides thereof in beautiful display.