An HF resonator assembly generates at least two independent alternating magnetic fields in a test volume of a magnetic resonance apparatus. The HF resonator assembly includes a first pair of flat coils that form a first HF resonator and comprise electrical conductor portions that surround a planar surface portion. The flat coils are arranged on opposing sides of the test volume, on coil support plates that are mutually parallel and in parallel with the longitudinal axis. A second pair of flat coils forms a second HF resonator on second coil support plates. The projections of the planar surface portions of the flat coils in each of the first pair of flat coils and the second pair of flat coils overlap in part, but not completely, when viewed in a direction perpendicular to the respective planar surface portions.