The invention provides a center pipe of a packer and the packer. The center pipe of the packer comprises a pipe column body; and the pipe column body comprises a clamping section, the cross section of the outer wall of the clamping section is in a non-circular shape, and the clamping section is used for being clamped into a through hole of a movable part to enable the movable part and the clamping section to be mutually fixed in the axial direction. According to the center pipe of the packer and the packer, owing to the fact that the cross section of the outer wall of the clamping section is in the non-circular shape, the movable part and the pipe column body can mutually clamped in the axial direction so that relative rotation cannot be conducted; and when the movable part on the packer is subjected to casing milling through a milling shoe, the movable part does not rotate around the center pipe of the packer along with the milling shoe, so that efficiency for torque transmitting from the milling shoe to the movable part is improved, further the casing milling time for the movable part is shortened, and salvage efficiency of the packer is improved.