[en] A 3D radial k-space acquisition technique with homogenous distribution of the sampling density (DA-3D-RAD) is presented. This technique enables short echo times (TE<0.5 ms), that are necessary for ²³Na-MRI, and provides a high SNR-efficiency. The gradients of the DA-3D-RAD-sequence are designed such that the average sampling density in each spherical shell of k-space is constant. The DA-3D-RAD-sequence provides 34% more SNR than a conventional 3D radial sequence (3D-RAD) if T₂^*-decay is neglected. This SNR-gain is enhanced if T₂^*-decay is present, so a 1.5 to 1.8 fold higher SNR is measured in brain tissue with the DA-3D-RAD-sequence. Simulations and experimental measurements show that the DA-3D-RAD sequence yields a better resolution in the presence of T₂^*-decay and less image artefacts when B₀-inhomogeneities exist. Using the developed sequence, T₁-, T₂^*- and Inversion-Recovery-²³Na-image contrasts were acquired for several organs and ²³Na-relaxation times were measured (brain tissue: T₁=29.0±0.3 ms; T_2s^*∼4 ms; T_2l^*∼31 ms; cerebrospinal fluid: T₁=58.1±0.6 ms; T₂^*=55±3 ms (B₀=3 T)). T₁- und T₂^*-relaxation times of cerebrospinal fluid are independent of the selected magnetic field strength (B0 = 3T/7 T), whereas the relaxation times of brain tissue increase with field strength. Furthermore, ²³Na-signals of oedemata were suppressed in patients and thus signals from different tissue compartments were selectively measured. (orig.)