A plug, in particular a high-pole plug, of a plug-type connector is disclosed for a number of multi-core, shielded cables, of whose lines are electrically conductively connected to contacts of a contact strip cable shields are electrically conductively connected to a shield support. The contact strip and the shield support are arranged physically at a distance from one another in a shroud. The shield support is electrically connected to an ground connection of the plug. Two shielding brackets are provided as the shield support and connected to one another in a releasable manner. These shielding brackets are formed in such a way as to form a holding area for cable clamps which can be clamped between these shielding brackets. As a result, a plug of this type can accommodate a contact strip with a high pole number, without the need to modify the dimensions of the shroud of the plug.