ZrB2 is a nonsuperconducting Pauli paramagnetic crystallizing in the AlB2 structure. V substitution for Zr in Zr1-xV xB2 (0.01 ≤ x ≤ 0.1) at the few percentage level induces superconductivity with critical temperature reaching a maximum of 8.7 K for Zr0.96V0.04B2 near the solid solubility limit. Specific-heat and lower critical field temperature dependence results suggest the possibility of unconventional superconductivity possibly arising from multiband effects. © 2013 American Physical Society.