The embodiments of the present disclosure disclose a clamping device for continuous adjustment of a display stand which comprises a holder having an upper pressing board and a side board, a connector connected to the side board having at least one connecting column, and a fastening screw screwed to the connector with a gap formed between the top of the fastening screw and the bottom of the upper pressing board. The side board comprises connecting holes and channels which allow adjusting the height of the display stand without having to disassemble the connector.