A fuel door apparatus for a vehicle includes: a fuel door rotatable connected to a door housing, connected with an elastic member of the door housing, and including a guide pin; a locking lever rotatably connected to the door housing, having a first end portion disposed on a rotation radius of the guide pin; a restraining lever spaced apart from the locking lever to be rotatable on the door housing, having a first end portion disposed in a radius, on which a second end portion of the locking lever rotates, and latched on the locking lever in the closed position; and a drive controller being in contact with or separated from the restraining lever depending on whether the fuel door is opened or closed to selectively allow rotation of the restraining lever.