A new superconductor BaAg1.8Bi2 with a previously unknown variant of the monoclinically distorted CaBe2Ge2 structure (space group C2/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 Tc = 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 Hc1(0) = 53 Oe and Hc2(0) = 2.1 × 104 Oe and the critical current density reaching 4.4 kA/cm2 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 [BiAg0.8] layer rather than to the [AgBi] layers where Ag atoms are locally disordered. This could explain the unusually high Tc value for bismuthides belonging to the CaBe2Ge2 structural type and its derivatives.