Three coordination polymers of [(NiL1)(3)(TCBA)(2)] (1), [(NiL2)(3)(TCBA)(2)] (2), and [(NiL3)(3)(TCBA)(2)] (3) have been constructed using azamacrocyclic Ni(II) complexes [NiL1](ClO4)(2)/[NiL3](ClO4)(2)/[NiL3](ClO4)(2) and TCBA(3-) as building blocks (L-1 = 3,10-bis(2-fluorobenzyl)-1,3,5,8,10,12-hexaazacyclotetradecane; L-2 = 3, 10-bis(3-fluorobenzyl)-1,3,5,8,10,12-hexaazacyclotetradecane; L-3 = 3,10-bis(4-fluorobenzyl)-1,3,5,8,10,12-hexaazacyclotetradecane; TCBA(3-) = tri(4-carboxy-benzyl)amine). The results of X-ray diffraction analyses reveal that 1 shows a 2D Borromean structure, while 2 and 3 form 2D layer structures, and the 2D layers are further connected by the interlayer F center dot center dot center dot F interactions in 2 and C-H center dot center dot center dot F interactions in 3 to generate two 3D porous structures with ID fluorine atoms interspersed channels. Gas sorption measurements illustrate that the desolvated 2 and 3 can adsorb N-2, H-2, and CO2 molecules. The different structures and gas sorption properties of 1 and 2/3 are mainly induced by the different positions of F atoms in azamacrocycle ligands.