A method includes a first brake block of a first brake rubber, a second brake block mounted with a second brake rubber and a mounting base for mounting the first and second brake blocks. The second brake rubber is movable along a direction slanted with respect to an axis of rotation of the traction sheave. A brake block actuation member is triggered by the brake blocks to enable the first and the second brake rubbers to hold the traction sheave. A switching member is also triggered by the action of the second brake rubber, cutting off a safety circuit of the elevator. The external power is cut off, and the brake block actuation member enables contact between the second brake rubber and the traction sheave. The traction sheave further drives the second brake rubber triggering the brake block members to generate frictional braking force to stop the traction sheave.