A new superconductor BaAg 1.8 Bi 2 with a previously unknown variant of the monoclinically distorted CaBe 2 Ge 2 structure (space group C 2/ m ) has been crystallized in the form of single crystals from a bismuth flux. The temperature and magnetic field dependences of the magnetic susceptibility and resistance have shown that this compound transits to a superconducting state at the temperature T c = 5.4 K. According to the found Ginzburg–Landau parameter κ = 27, this compound is a type-II superconductor with the first and second critical fields H c1 (0) = 53 Oe and H c2 (0) = 2.1 × 10 4 Oe and the critical current density reaching 4.4 kA/cm 2 at 2.5 K. It can be assumed that, similar to some superconducting 112 type bismuthides, superconductivity in this compound is due to the planar square bismuth sublattice contained in the fluorite-like [BiAg 0.8 ] layer rather than to the [AgBi] layers where Ag atoms are locally disordered. This could explain the unusually high T c value for bismuthides belonging to the CaBe 2 Ge 2 structural type and its derivatives.