A frame structure of a dual screen extender includes a support body. Two clamping portions are slidably arranged on two sides of the support body. Sliding rods are arranged on the clamping portions. Sliding channels are formed on the support body. The sliding channels are matched with the sliding rods. An elastic tensioning piece is arranged in each of the sliding channels. Each elastic tensioning piece is configured to provide elastic tensioning force for a corresponding sliding rod. At least one of the two clamping portions is provided with a screen support. The screen support is rotatable. The screen support is stacked on the support body when the screen support is rotated to be fully folded. A state maintaining assembly is arranged on each of the clamping portions. Each state maintaining assembly is configured to position the screen support before and after rotation of the screen support.