The invention provides a special clamp for a linear angle tower and an application method of the special clamp. The first insulator, counted in sequence, of a linear angle tower insulator string can be replaced in the line outage device state and the electrified device state by directly installing the special clamp for the linear angle tower on a corner framework of the linear angle tower through a 500 kV power transmission line, connecting the special clamp for the linear angle tower with an existing clamp through a force bearing lead screw in a downwards clamping mode and using the linear angle tower and the existing clamp in cooperation. Compared with a traditional replacement method achieved through a palm gourd, by means of the special clamp, under the condition that a tool is portable and simple, the first insulator, counted in sequence, of the 500 kV linear angle tower insulator string can be rapidly and safely replaced. More importantly, the defect that by means of the traditional replacement method, operation can not be conducted in the electrified state is overcome, and the requirement for the electrified maintenance of the power transmission line is met.