A plug-in connector part for plug-in connection to an associated mating plug-in connector part includes: a holder frame; and a plurality of modular contact inserts inserted into the holder frame which each include a plug-in portion for connecting to the mating plug-in connector part in a plug-in direction and have a contact element arranged thereon for contacting the mating plug-in connector part. At least one of the contact inserts includes a module housing inserted into the holder frame and a contact support which is arranged on the module housing, is movable relative to the module housing in the plug-in direction, and forms the plug-in portion of the contact insert.