A combination padlock with a name card has a housing, a card clamp, multiple dial cores, a shackle, a locking shaft and a key core. The housing has a card surface. The card clamp is mounted detachably on the card surface and holds a name card to indicate who owns the padlock. The dial cores are mounted in the housing, have a combination and provide a combination locking capability. The shackle is U-shaped and has a mounting end and a locking end. The mounting end is mounted through the dial cores. The locking end detaches from the housing. The locking shaft is mounted in the housing and selectively meshes the shackle with the dial cores. The key core is mounted in the housing, locks and releases the shackle by a key and allows a person to unlock the padlock when the combination is forgotten.