Two novel Co-based metal-organic frameworks (MOFs) were synthesised and characterised using an asymmetrically binding ligand, 4-(4'-carboxyphenyl)-1,2,4 triazole (Hcpt). The isolated [Co3(II)(μ3-O)(OH)(cpt)3(H2O)2]n·xH2O·yDMF, , exhibits a rhombohedral crystal structure (space group, P63/mc), with a trinuclear cobalt core that resembles the MIL88 series. This MOF shows paramagnetic behaviour down to 2 K with no saturation of magnetisation up to 7 T. This is presumably due to a geometrically frustrated triangular arrangement of Co spins. The two-dimensional complex, [Co(II)(cpt)(N3)]n, , crystallises in a monoclinic crystal system (space group, C2/m). The magnetic measurements reveal metamagnetic behaviour for this complex with a critical field in the range of 700-1000 Oe.