Two new supramolecular assemblies formed by [Cu2(Hdiphba)4] (H2diphba=4‐hydroxy‐3,5‐di‐iso‐propylbenzoic acid) in protic and aprotic solvents have been investigated. Methanol gives rise a 3D hydrogen‐bonded network comprised of [Cu2(Hdiphba)4] and extremely rare twisted‐boat methanol cyclohexamer synthons. While, dimethyl sulfoxide (DMSO), an aprotic solvent, gives a 2D assembly in which DMSO bridges [Cu2(Hdiphba)4] units to form 1D rectangular channels, entrapping guest DMSO arranged in a zig‐zag chain. The solvent molecules could be replaced with neutral N,N’‐donor linkers to form 1D coordination polymers.