Three cobalt coordination polymers, namely {[Co(4-pmntd)2(CF3SO3)(H2O)]·(CF3SO3)·(C2H5OH)·0.5(HCCl3)·H2O} n (1), {[Co(4-pmntd)(H2O)4]·(NO3)2·H2O} n (2), and {[Co(4-pmntd)(pta)(CH3OH)2]·2(CHCl3)} n (3) (4-pmntd = N,N′-bis(4-pyridylmethyl)-naphthalene diimide; pta = terephthalate), have been synthesized by reactions of 4-pmntd with Co(CF3SO3)2·4H2O, Co(NO3)2·6H2O, and Co(pta), respectively. The complexes have been characterized by elemental analyses, powder X-ray diffraction, thermogravimetric analyses, IR spectroscopy, and single-crystal X-ray diffraction. In complex 1, the ligand adopts U-mode, resulting in a dumbbell-like 2D (4, 4)-sql net structure in a non-interpenetrating edge-to-edge arrangement. The Z-mode ligand arrangement leads to 1D zigzag chains for complex 2, and a 2D twofold interpenetrating bat-like (4, 4)-sql net for complex 3. A solution of complex 2 in DMF showed a change in color and remarkably enhanced fluorescence upon the addition of two equivalents of acetate, whereas other anions did not induce a color change. Hence, complex 2 can act as a highly promising acetate-detecting reagent. Their thermal and the gas adsorption properties of complexes 1 and 3 were investigated. Three 1D and 2D cobalt coordination polymers have been synthesized; their structural diversity in these complexes is attributed to different coordination abilities, geometries of counter-anions, and the different conformations adopted by the ligand. A solution of complex 2 showed a change in color and remarkably enhanced fluorescence upon the addition of two equivalents of acetate, whereas other anions did not induce a color change. Hence complex 2 can act as a highly promising acetate-detecting reagent. Their thermal properties and the gas adsorption property of complexes 1, 3 were investigated.