A sheath core assembly (100) and a delivery system are provided. The sheath core assembly (100) includes a sheath core (10) and a U-shaped anchor (20). The U-shaped anchor (20) includes an anchor body (21) and a stent fixing rod (22). The anchor body (21) is sleeved to the sheath core (10) and relatively fixed to the sheath core (10). The anchor body (21) includes a distal face (21a) and a proximal face (21b) which are opposite to each other, and an outer peripheral face (21c) surrounded between the distal face (21a) and the proximal face (21b). The distal face (21a) is larger than the proximal face (21b), and edge profiles of the distal face (21a) and the proximal face (21b) are arc-shaped. The outer peripheral face (21c) is an arc face having a smooth transition from the distal face (21a) to the proximal face (21b). A welding groove (24) is recessed in the outer peripheral face (21c) near a proximal end of the anchor body (21). A proximal end of the stent fixing rod (22) is fixedly connected to the distal face (21a) of the anchor body (21). In the sheath core assembly, an outer periphery of the anchor body is arranged as an arc-shaped transition face, and a welding groove is recessed in the arc-shaped transition face, whereby a distal end of the anchor body is stepless, thus solving the problem of difficulty in pushing and withdrawing due to steps in a welding zone.