This paper reports novel silver polymers, built with iodine--silver interactions, with interesting structural motifs. Four silver(I) coordination polymers of the aryl iodide derived ligands, triiodobenzoic acid (HLL), tris(4-iodophenyl)-amine (L-2), and 5,7-diiodo-8-hydroxyquinoline (HL3), have been synthesized and characterized by X-ray crystallography. Treatment of Ag(CH3COO) with HL1 yielded [Ag(L-1)] (1), whose structural analysis revealed 2D layers of ladders connected through weak Ag ... I interaction. Reactions of AgClO4 and L-2 in benzene and nitrobenzene afforded, respectively, two different products, [Ag(L-2)(H2O)]ClO4. C6H6 (2) and [Ag(L-2)(ClO4)] (3). While the structure of 2 could be described as a 2D layer of square and octagons perpendicular to [100], complex 3 is formed by 2D layers of the same topology of 2 (8(2). 4), alternating as ABAB. In contrast, complex 4, [Ag-2(H2L3)(CK3SO3)(3)], obtained by reaction of Ag(CF3SO3) and HL3, was found to consist of a 2D layer based on columnar arrays AgH2L3-Ag(triflate). The solid-state FT-IR and Ag-109 NMR- spectra of theses complexes are discussed on the basis of their crystal structures.