A device for acquiring and stapling multiple tissue regions within a subject's stomach, by introducing the device transorally into the subject's stomach, said device comprising, in operative condition, (a) a multi-fire staple head designed for reciprocal motion along an axis between a compact condition in which the head can be inserted into the stomach transorally and an expanded tissue-acquisition condition, (b) a shaft to which the head is attached and by which the head in its compact condition can be introduced transorally into the stomach, and (c) a tissue-acquisition device for acquiring tissue within the stomach, said multi-fire staple head comprising (i) a staple-holding member having a plurality of staple-holding chambers arrayed in a pattern about said axis, each chamber terminating at a staple-ready position, a plurality of staples held within each chamber, with one of the staples in each chamber being positioned at the staple-ready position in that chamber, a staple driver for engaging those staples in the staple-ready position within each chamber and driving the engaged staples across a face plate and out of the staple-holding member, when the staple driver is moved from a first to a second position, (ii) an anvil member, (iii) a tissue-capture chamber defined between confronting surfaces (117, 119) of the staple-holding member and the anvil member, and (iv) structure coupling the staple-holding and anvil members (116, 118) for reciprocal motion along said axis toward and away from one another between said compact condition and said expanded condition at which the tissue-capture chamber has an expanded areal dimension and a tissue fold within the chamber is captured between the staple holding and anvil members, said device for acquiring and stapling multiple tissue regions being characterized in that the multi-fire staple head further comprises a staple advancing element housed in each chamber adjacent to a radially outermost one of the staples wherein the staple advancing elements and the plurality of staples are biased radially inwardly, whereby movement of the staple driver from its second to its first position results in the advance of a new staple in each chamber to a staple-ready position. (a) a multi-fire staple head designed for reciprocal motion along an axis between a compact condition in which the head can be inserted into the stomach transorally and an expanded tissue-acquisition condition, (b) a shaft to which the head is attached and by which the head in its compact condition can be introduced transorally into the stomach, and (c) a tissue-acquisition device for acquiring tissue within the stomach, said multi-fire staple head comprising (i) a staple-holding member having a plurality of staple-holding chambers arrayed in a pattern about said axis, each chamber terminating at a staple-ready position, a plurality of staples held within each chamber, with one of the staples in each chamber being positioned at the staple-ready position in that chamber, a staple driver for engaging those staples in the staple-ready position within each chamber and driving the engaged staples across a face plate and out of the staple-holding member, when the staple driver is moved from a first to a second position, (ii) an anvil member, (iii) a tissue-capture chamber defined between confronting surfaces (117, 119) of the staple-holding member and the anvil member, and (iv) structure coupling the staple-holding and anvil members (116, 118) for reciprocal motion along said axis toward and away from one another between said compact condition and said expanded condition at which the tissue-capture chamber has an expanded areal dimension and a tissue fold within the chamber is captured between the staple holding and anvil members, (i) a staple-holding member having a plurality of staple-holding chambers arrayed in a pattern about said axis, each chamber terminating at a staple-ready position, a plurality of staples held within each chamber, with one of the staples in each chamber being positioned at the staple-ready position in that chamber, a staple driver for engaging those staples in the staple-ready position within each chamber and driving the engaged staples across a face plate and out of the staple-holding member, when the staple driver is moved from a first to a second position, (ii) an anvil member, (iii) a tissue-capture chamber defined between confronting surfaces (117, 119) of the staple-holding member and the anvil member, and (iv) structure coupling the staple-holding and anvil members (116, 118) for reciprocal motion along said axis toward and away from one another between said compact condition and said expanded condition at which the tissue-capture chamber has an expanded areal dimension and a tissue fold within the chamber is captured between the staple holding and anvil members,