A projection display apparatus and an actuation control method thereof are provided. A projection display apparatus includes an apparatus body that forms an optical image projected on a screen, a projection lens that projects the optical image formed by the apparatus body on the screen, a lens actuator that allows the projection lens to be shifted in a vertical direction or in a horizontal direction relative to the apparatus body, and a shift controller that limits a range of shift movement by the lens actuator such that a center position of the projection lens does not go outside of a quadrangle region of which the intersection point of diagonals is located coaxially with the position of the optical axis of the apparatus body.