Disclosed are a pulley structure and a damper pulley that prevent corrosion. The pulley structure may include a hub part that is fitted on a crankshaft rotated by power from an engine and rotates with the crankshaft and a pulley part coupled with the hub part to rotate with the hub part and connected with a power transmission member. The hub part may include a pulley contact surface facing the pulley part, and pulley coupling portions formed at the pulley contact surface to secure coupling members. The pulley part may include a hub contact surface facing the pulley contact surface of the hub part, hub coupling portions coupled to the pulley coupling portions by securing the coupling members, and coupling grooves recessed from the hub coupling portions to insert the coupling members. Washers made of an insulator may be fitted on the coupling members between the pulley coupling portions and the hub coupling portions.