The Copper (Ⅰ) complex [Cu(tpy)(CN)]n [L=4'-(4-cyanophenyl)-2,2'∶6',2″-terpyridine ] has been synthe-sized by reaction of ligand L with CuCN using solvothermal method and characterized by IR,elemental analysis and X-ray diffraction single-crystal structure analysis. The crystal structure indicates that the complex crystallizes in monoclinic system,space group P21/c with a=0.884 45(18) nm,b=0.819 55(16) nm,c=2.702 90(7) nm,β=102.780 (3)°,V=1.910 7(7) nm3,Z=4,Dc=1.495 g.cm-3,F(000)=864.0,R1=0.059 3,wR2=0.123 3. The Cu(Ⅰ) ion in the title complex has a slightly distorted tetrahedron coordination geometry. Each Cu+ is coordinated with two nitrogen atoms from two pyridine ring of 4'-(4-cyanophenyl)-2,2'∶6',2″-terpyridine,and then linked by two CN-ligands with neighbor Cu+ forming a zigzag infinite one-dimensional chain structure. CCDC:686952.