By application of flux growth methods in combination with redox reactions, single crystals of BaAg2Cu[VO4](2) can be synthesized. A new structure type (triclinic, P (1) over bar, Z = 2, a = 5.448(2) angstrom, b = 5.632(3) angstrom, c = 14.393(6) angstrom, alpha = 94.038(9)degrees, beta = 90.347(6)degrees, and gamma = 118.195(5)degrees) has been found and will be described here. Structure-properties relationships have been investigated by spectroscopic methods (IR, UV(-)vis(-)NIR, ESR) and the electronic structure will be discussed within the angular-overlap model (AOM) for Cu2+. Furthermore, we present the magnetization and specific heat data for BaAg2Cu[VO4](2) representing a Heisenberg spin system with exclusive super-super exchange (SSE) on a frustrated magnetic triangular lattice. Considerable antiferromagnetic (AFM) low-dimensional interaction is evident, and ferromagnetic-like longrange order sets in at approximate to 0.7 K.