Unlike the widely studied s-type two-gap superconductor MgB 2 , the chemically similar compounds ZrB 2 and HfB 2 do not superconduct above 1 K. Yet, it has been shown that small amounts of self-or extrinsic doping (in particular with vanadium), can induce superconductivity in these materials. Based on results of different macro-and microscopic measurements, including magnetometry, nuclear magnetic resonance (NMR), resistivity, and muon-spin rotation (µ + SR), we present a comparative study of Zr 0.96 V 0.04 B 2 and Hf 0.97 V 0.03 B 2 . Their key magnetic and superconducting features are determined and the results are considered within the theoretical framework of multiband superconductivity proposed for MgB 2 . Detailed Fermi surface (FS) and electronic structure calculations reveal the difference between MgB 2 and transition-metal diborides.