The new cancrinite-group mineral balliranoite was found in a metasomatic rock from Monte Somma - Vesuvio volcanic complex, Campania, Italy. Associated minerals are orthoclase, phlogopite, a mineral of the humite group, calcite, diopside, pargasite, hauyne and apatite. The mineral is named for the Italian crystallographer Paolo Ballirano. It occurs in the cavities of the rock as coarse prismatic crystals up to 1x₁x₂ mm and as anhedral grains up to 1 cm in the groundmass. The empirical formula based on 12 (Si + Al) is: Na_4.70Ca_2.53K_0.73(Si_6.02Al_5.98O_23.995)Cl_2.34(CO₃)_0.82(SO₄)_0.27^.0.12H₂O. The simplified formula is: Na₅KCa₂(Si₆Al₆O₂₄)Cl₂(CO₃). The crystal structure is refined (R = 0.0396). Balliranoite is hexagonal, P₆₃; a = 12.695(2) Å, c = 5.325(1) Å, V = 743.2(2) ų, Z = 1. Balliranoite is an analogue of cancrinite with ...-Ca-Cl-Ca-Cl-... chains in narrow channels instead of ...-Na-H₂O-Na-H₂O-... and an analogue of davyne with prevailing of (CO₃) in broad channels instead of (SO₄).