Three new heterometallic coordination polymers (CPs) formulated as [NiAg3(acac)(3)(NO3)(2)(H2O)](n) (2), [NiAg3(acac)(3)(ClO4)(2)(EtOH)(2)](n) (3), and [NiAg2(acac)(2)(CF3SO3)(2)(H2O)(2)](n) (4) have been obtained following a synthetic strategy of introducing AgX (X = NO3-, ClO4-, CF3SO3-)to react with a metalloligand [Ni(acac)(2)(EtOH)(2)](n) (1, Hacac = acetylacetone). Their structures have been determined by single-crystal X-ray diffraction analyses and compounds 2-4 are further characterized by elemental analyses, IR spectra, powder X-ray diffraction (PXRD) and thermogravimetric (TG) analyses. Complex 2 displays an unprecedented three-dimensional (3D) inorganic chiral framework with novel 5-nodal (3,3,4,4,4)-connected (4.8(2).10(3))(2)(4(2).6)(4(2).8.10(3))(4(3))(4(4).6(2))(2) topology. Complex 3 possesses 2D inorganic layers holding 7-nodal (3,3,3,3,4,4,4,4)-connected (4.10(2))(2)(4(2).10(3).12)(4(2).6)(4(3))(4(4).6(2))(2) networks. Complex 4 shows a 2D (4,5)-connected 4,5-L30 layered architecture with (3(3).4.6(2).7(4))(3(3).4(2).5) topology. The anions in compounds 2-4 are crucial factors for the formation of the different structures. In addition, the photoluminescent properties of compounds 2-4 are investigated in the solid state at room temperature.