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/[NiL2](ClO4)2/[NiL3](ClO4)2 and TCBA3- as building blocks (L1 = 3,10-bis(2-fluorobenzyl)-1,3,5,8,10,12-hexaazacyclotetradecane; L2 = 3,10-bis(3-fluorobenzyl)-1,3,5,8,10,12-hexaazacyclotetradecane; L3 = 3,10-bis(4-fluorobenzyl)-1,3,5,8,10,12- hexaazacyclotetradecane; TCBA3- = 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···F interactions in 2 and C–H···F interactions in 3 to generate two 3D porous structures with 1D fluorine atoms interspersed channels. Gas sorption measurements illustrate that the desolvated 2 and 3can adsorb N2, H2, 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.