Superconducting properties of bulk, dense, pure MgB 2 and doped (Mg 1-x A x )B 2 samples with A = Na, Ca, Cu, Ag, Zn and Al were studied for compositional ranges 0 < x ? 0.20. The effect on pinning properties and critical current were investigated, particularly for A = aluminium. The samples were sintered and/or synthesised at high pressure -high temperature in a cubic multi-anvils press (typically : 3.5-6 GPa, 900-1000 °C). They were characterised by x-ray diffraction, scanning electron microscopy and their superconducting properties were investigated by a.c. susceptibility, magnetisation (VSM and SQUID) and transport measurements under magnetic field. Only Al substitutes really on the Mg site. The other elements form secondary phases with B or Mg which do not act as pinning centres. No positive effect is observed on the superconducting properties of the bulk MgB 2 samples added with these doping elements : T c , j c critical current, H irr and H c2 . For Al, the effect on H c2 remains small, and the irreversibility line does not move, thus not improving the critical current of the Al-doped MgB 2 samples.