A conveyor apparatus (2), so-called injector head, to enable feeding of e.g. continuous tubing (7) or coiled tubing through the conveyor apparatus (2), to and from a wellhead and a well below and related to use of well tools. The apparatus has an apparatus frame (21), a pair of oppositely located, co-operatively movable, segmented continuous belts (28; 29) installed in the frame (21), each belt comprising a plurality of interconnected gripper shoe carriers (30) carried and movable by means of a pair of continuous belt drive chains (31; 32). A gripper shoe (52) to engage and convey the tubing (7) comprises: a gripper shoe base (53) having at a front thereof longitudinal first and second edge regions (53′; 53″), a first leg (54) and a second leg (55) extending at one end (54′; 55′) thereof from said first and second edge regions (53′; 53″), respectively, said legs being inclined towards each other, and first and second device (7; CED) gripper members (56; 57) being located at the other end (54″; 55″) of said first and second legs (54; 55) and extending in parallel in the direction of the belt (28; 29).