The invention discloses a continuous digital control method for processing a plate part. A displacement signal of a displacement sensor with pulling thread is fed back to a control system of a follow-up clamp; a teaching method is used for remembering the coordinate position of an anti-collision press plate; the control system of the follow-up clamp is used for collecting the displacement signal of the displacement sensor with pulling thread in real time; and the forward movement range of the press plate on the clamp for avoiding the collision with a digital control cutting tool is calculated and analyzed according to the length of the press plate on the follow-up clamp; the press plate on the clamp is controlled to avoid collision and be compressed automatically; and an anti-collision control command or a clamping command is initiated to a press plate executing mechanism. In the method, the displacement sensor with pulling thread is utilized to collect the coordinate position of the press plate for avoiding the collision with the digital control cutting tool; the teaching method is adopted to cause the cutting tool to be moved within the forward movement range of the press plate for avoiding the collision with the digital cutting tool; the control system is used for controlling the press plate executing mechanism on the clamp to cause the press plate to avoid collision automatically. The method solves the problem that safety accidents easily occur and processing efficiency and processing quality are affected since running stop and manual disassembling the press plate on the clamp are required when the digital control cutting tool collides with the press plate.