A new coordination compound of chromium (III) with dimethyl-N-trichloroacetylamidophosphate (<$E roman {{bold L} sup -~=~Cl sub 3 CC(O)NP(O)(OCH sub 3 ) sub 2}>) has been obtained. Based on IR data, the bidentate coordination mode of the carbacylamidophosphate ligand is suggested. The centrosymmetric binuclear complex [<$E roman {Cr sub 2 ( bold L ) sub 4 ( mu sub 2~-~OCH sub 3 ) sub 2}>] has molecular structure according to X-ray analysis. The phosphoramidic ligands are coordinated in a bidentate manner via oxygen atoms of phosphoryl and carbonyl groups, and the coordination polyhedra represent the cis-isomer. The coordination environment of the central ion possesses a distorted octahedral geometry with c.n. = 6. The polyhedron (CrO6) comprises 4O from two bidentate phosphorylic ligands and 2O from bridging methoxide ions.