Reactions of transition metal acetates with dicarboxylic ligands and bis(imidazole) ligands afforded three coordination polymers, [Ni(1,2-BIB)(CEDA)].1.5H(2)O 1, [Z(n)(1,2-BIB)(CADA)1 2 and [Zn-2(1,4-BIB)2 (CEDA)2].2H(2)O 3, (1,2-BIB = 1,2-bis((1H-imidazol-1-yl)methyl)benzene, H(2)CEDA = cyclohex-4-ene-1,2dicarboxylic acid, H(2)CADA = cyclohexane-1,2-dicarboxylic acid, 1,4-BIB = 1,4-bis((1H-imidazol-1-y1) Inethyl)benzene). Compounds 1 and 2 present a 2D rhombohedral grid sheet with the same topology. Compound 3 exhibits a (3, 4)-nodal 2D sheet with a point Schlafli symbol (4, 62)(4, 64, 8). Z-scan experiments were carried out to evaluate the third-order nonlinear optical (NLO) performance of three compounds. The results show that they exhibit strong third-order NLO absorption in DMSO solution and thin films. The NLO absorptive coefflcienii P(MKS) in solution are evaluated to be 1.01 x 10(-10) m W-1 for 1, 0.42,x 10-(10) m W-1 for 2 and 0.46 x 10(-1) mW(-1) for 3. The third-order NLO susceptibility X(3) are calculated as 3.54 x 10(-12) esu for 1, 1.47 x 10(-12) esu for 2 and 1.61 x 10(-12) esu for 3. Interestingly, three compounds show much stronger NLO absorption in thin films with absorptive coefficients beta (MKS) 6.41 x 10(-5) m W-1 for 1, 3.26 x 10(-5) m W-1 for 2 and 0.39 x 10(-5) m W-1 for 3. In addition, compound 2 exhibits strong self-focusing effects with gamma 5.35 x 10(-12) m(2)/W. The corresponding third-order NLO susceptibility x(31 are calculated as 1.03 x 10(-5), 0.56 x 10(-5) and 0.063 x 10(-5) esu, respectively. The composition of frontier orbitals of three compounds was investigated by using density functional theory (DFT). The influence of frontier orbitals on the third-order NLO properties was discussed. (C) 2016 Elsevier Ltd. All rights reserved.