The invention discloses a construction method for enabling a strand in a suspension bridge tunnel anchor to be in place rapidly through a specially-made clamp. The construction method is characterized by comprising the following steps of (1) processing the specially-made clamp; (2) connecting the specially-made clamp with a head of a strand; and (3) pulling the clamp to be in place by a winch. Through the implementation of the construction method disclosed by the invention, the main cable strand is pulled to the front anchor surface of a tunnel anchor under the assistance of the specially-made clamp; a pulling rope is avoided from causing frictional damage to the anchor head of the strand through the specially-made clamp; the specially-made clamp is provided with a pulley block, so that the pulling efficiency can be improved through routing, and the method is suitable for multi-tonnage winch; and the specially-made clamp can be recycled, so that the in-place efficiency of the main cable strand in the tunnel anchor is greatly improved, and the cost can be reduced.