A door structure of a vehicle includes: an outer panel (4); an inner member (5, 11A) arranged on an inner side of the outer panel in a vehicle width direction; a rigid member (9) arranged between the inner member (5, 11A) and the outer panel (4); and a vibration suppression member (22) arranged between the outer panel (4) and the rigid member (9). The outer panel (4) includes a hem section (10f, 10r, 10u) disposed on a periphery thereof and connected to the inner member (5, 11A) by swaging. The vibration suppression member (22) includes a damping material (22A to 22C) located adjacent to the hem section (10f, 10r, 10u) and being in contact with the outer panel (4) and the rigid member (9).