The invention discloses a workover rig automatic catwalk apparatus and an operation method thereof. The w workover rig automatic catwalk apparatus comprises a catwalk body, an upper pipe mechanism, a V-shaped support slideway, an overturn mechanism, a lifting support and a control portion, wherein the overturn mechanism is installed on the lifting support; the V-shaped support slideway is installed on the lifting support in such a mode that the extending direction of the V-shaped support slideway is parallel to the extending direction of the lifting support, the upper pipe mechanism is used for bearing a part to be conveyed, the overturn mechanism is in mechanical connection with the upper pipe mechanism, and the overturn mechanism can transfer the part to be conveyed borne by the upper pipe mechanism to the V-shaped support slideway, at a loading state of the part to be conveyed, the lifting support is arranged on the catwalk body so as to arrange the part to be conveyed on the upper pipe mechanism conveniently; and at a conveying starting state of the part to be conveyed, the lifting support performs rotary motion by taking one end as a fulcrum under the control of a control portion through a mode of separating the other end from the catwalk body, and thus conveying of the part to be conveyed is started.