A door opening and closing apparatus includes a lock mechanism having an engaging member that engages with a lock member provided in a door when the door is in a fully closed state, and a link mechanism that has three link members, is configured to be able to undergo deformation into a linear state and a bent state, and restricts rotation of the engaging member by being brought into the linear state. A central link member among the three link members has a first face and a second face that are pressed by a projecting shaft. The link mechanism changes to the bent state when the first face is pressed, and changes to the linear state when the second face is pressed. The first face and the second face are provided so as to have a positional relationship in which the first face and the second face intersect each other.