A sliding door fitting for an item of furniture having a (furniture) body, which, in a preferred embodiment, is designed as open at least toward a front side and closed on multiple other sides, thus at least on a top wall and/or a bottom wall, wherein, externally in front of the open front side of the furniture body, at least one closure element (7, 8), in particular a sliding door (7, 8), is arranged so it is movable in relation to the body and in relation to a further closure element (7, 8), in particular a further sliding door (7, 8), each having the sliding door fitting, wherein the closure element (7, 8) and the further closure element (7, 8) preferably lie in a shared plane in the closed position, wherein the sliding door fitting comprises the following: a. at least one or more carriage arrangements (10, 11), which each have first and second outer guide carriages (12a, 12b) and associated first and second inner guide carriages (18a, 18b), b. wherein the outer guide carriages (12a, 12b) are displaceable on a rail device of the sliding door fitting in parallel to the main movement direction of the at least one closure element (7, 8), and wherein first and second inner guide carriages (18a, 18b), which are movable in relation to the outer guide carriages (12a, 12b), are arranged on the first and second outer guide carriages (12a, 12b), c. for which purpose slider devices (S1 and S2) are formed between the first and second outer and inner guide carriages (12a, 18a or 12b, 18b, respectively), wherein, to control the slider element movement of the slider devices (S1, S2) of the first and second outer and inner guide carriages (12a, 18a or 12b, 18b, respectively), a control roller is arranged only on one of the inner guide carriages (18a, 18b) or an element of each carriage arrangement (10, 11) fixed on this inner guide carriage (18a, 18b), which control roller is guided in a corresponding control contour (27a, 27b, 28) of the rail device, wherein a sufficiently synchronized movement of the other inner guide carriage (18a, 18b) is implemented, preferably such that the sufficiently synchronized movement of the other inner guide carriage (18a, 18b) is implemented without a control roller by a multi-joint lever kinematic mechanism, wherein a connecting element such as a strut or a connecting plate connects the first inner carriage to the second inner carriage as part of the multi-joint lever kinematic mechanism, and wherein cantilevers (32a and 32b) are formed on the connecting element, characterized in that, as a part of the multi-joint lever kinematic mechanism, furthermore the first inner guide carriage has a first articulation point, on which a further cantilever is linked, on which the sliding door (7, 8) is fastened, and the second outer guide carriage has a second articulation point, and a third articulation point is arranged on the cantilever, wherein, as part of the multi-joint lever kinematic mechanism, furthermore a connecting lever is attached in each case so it is rotationally linked on the articulation point G2 (pivot bearing) on the second outer guide carriage and on the cantilever on the articulation point G3 (pivot bearing). a. at least one or more carriage arrangements (10, 11), which each have first and second outer guide carriages (12a, 12b) and associated first and second inner guide carriages (18a, 18b), b. wherein the outer guide carriages (12a, 12b) are displaceable on a rail device of the sliding door fitting in parallel to the main movement direction of the at least one closure element (7, 8), and wherein first and second inner guide carriages (18a, 18b), which are movable in relation to the outer guide carriages (12a, 12b), are arranged on the first and second outer guide carriages (12a, 12b), c. for which purpose slider devices (S1 and S2) are formed between the first and second outer and inner guide carriages (12a, 18a or 12b, 18b, respectively),