A device for removing a sheath of electrical conductors of a preferably multicore cable (K), preferably comprises at least one holding arrangement/clamping device for clamping the cable (K), and a blade arrangement (1), which can preferably be rotated about the longitudinal cable axis, for the sheath. A pull-off device (A) for the at least partially cut sheath is integrated into the device. This pull-off device (A) comprises pull-off mechanism (5), which is designed for connection to the sheath and for exertion of a force on the sheath parallel to the cable axis. The invention further relates to a method of removing an inner sheath of electrical conductors of a multicore cable (K).