The invention relates to a glenoid anchor for a joint part having a plate which can be mounted on the resected glenoid bone and which has bores for fastening elements for the anchorage in the glenoid bone and a stump for the fastening of the joint part, with the stump being firmly connected to the plate and having a mount with a conical surface at its inner side for a press fit with a conical spigot of the joint part. The invention furthermore relates to a joint connection having a glenoid anchor and a joint part which can be fastened to the glenoid anchor.