The coordination chemistry of the triazole-containing rigid crooked tetradentate ligands 3,5-bis(4-pyridyl)-4-amino-1,2,4-triazole (L5) and 3,5-bis(3-pyridyl)-4-amino-1,2,4-triazole (L6) with inorganic Ag(I) salts has been investigated. Six new coordination polymers were prepared by solution reactions and fully characterized by infrared spectroscopy, elemental analysis, and single-crystal X-ray diffraction. {[Ag3(L5)2](NO3)3(H2O)4}n (1) (triclinic, P1̄; a = 6.9481(5) Å, b = 9.7267(6) Å, c = 12.8803(8) Å, α = 92.7760(10)°, β = 99.1170(10)°, γ = 104.4150(10)°, Z = 1) was obtained by the combination of L5 with AgNO3 in a H2O/CH3OH mixed solvent system, and features a unique two-dimensional sheet, which consists of large tetrameric and small dimeric rings. The approximate dimensions of the rings are ca. 23 × 6 Å and 4 × 8 Å, respectively. {[Ag3(L5)3](PF6)3·(H2O)·(CH3OH)}n (2) (monoclinic, P21/n; a = 10.4641(6) Å, b = 15.6701(8) Å, c = 31.1907(17) Å, β = 94.8840(10)°, Z = 4) was generated from the reaction of L5 with AgPF6 in a H2O/CH3OH mixed solvent system. In 2, Ag(I) centers are interlocked together by L5 ligands through two terminal Npyridine and two Ntriazole donors into a novel noninterpenetrating three-dimensional framework with elliptical channels (effective cross-section of ca. 12.4 × 8.0 Å) extending along the crystallographic a axis. {[Ag(L5)](ClO4)·H2O}n (3) (triclinic, P1̄; a = 10.3605(16) Å, b = 10.5224(16) Å, c = 15.014(2) Å, α = 89.979(2)°, β = 76.656(2)°, γ = 89.980(2)°, Z = 4) was obtained by a combination of L5 with AgClO4 in a MeOH/H2O mixed solvent system. In the solid state, it forms a novel noninterpenetrating three-dimensional network with rhombic channels (effective cross-section of ca. 9.0 × 8.0 Å) along the crystallographic a axis, in which noncoordinated ClO4- anions and H2O guest molecules are located. {[Ag(L6)](ClO4)·CH3OH}n (4) (monoclinic, C2/c; a = 14.1747(10) Å, b = 16.2713(11) Å, c = 15.9983(11) Å, β = 114.9410(10)°, Z = 8) was obtained by the combination of L6 with AgClO4 in a MeOH/H2O mixed solvent system. In the solid state, 4 features a novel noninterpenetrating three-dimensional framework with honeycomb-like and elliptical channels in two different crystallographic directions. Their dimensions are 8 × 7 and 18 × 4 Å, respectively. Uncoordinated ClO4- counterions and MeOH guest molecules are located in these channels. {[Ag(L6)](PF6)·CH3OH}n (5) is generated from L6 and AgPF6 in a H2O/MeOH mixed solvent system and crystallizes in the space group C2/c, with a = 15.2035(10) Å, b = 16.5919(11) Å, c = 16.1240(10) Å, β = 116.8490(10)°, Z = 8. Compound 5 and 4 are isostructural. {[Ag2(C12H10N6)2](SiF6)·2H2O}n (6) (monoclinic, P21/c, a = 11.3839(6) Å, b = 16.5163(8) Å, c = 7.4485(4) Å, β = 95.5450(10)°, Z = 2) was obtained by the combination of L6 ligand with AgSbF6 in a MeOH/H2O solvent system. In the solid state, compound 6 adopts a noninterpenetrating two-dimensional net. Uncoordinated SiF62- anions and water molecules are located between the layers and further linked by extensive H-bonding systems into a three-dimensional framework. When viewed down the crystallographic [101] direction, honeycomb-like channels were found, in which SiF62- counterions and water guest molecules are located.