Noninterpenetrating chiral porous cobalt metal-organic framework built from the coplanar triangular H ₃ TATB ligands has been synthesized under solvothermal conditions. X-ray analysis revealed the compound crystallized in the chiral space group either P4₁32 or P4₃32 , and adopted a trimetallic “hourglass” secondary building unit, in which there are two terminal T_d- Co atoms and one central O_h- Co with T_d- Co and O_h- Co distance about 3.604 Å . Paramagnetic behavior is observed throughout the measured temperature range of 2–300 K . Assuming a uniform isotropic interaction between the nearest neighbor Co atoms, susceptibility of the trinuclear Co ²⁺ linear chain has been calculated by following Van Vleck’s quantum model for spin-spin couplings. The resultant fit to the data indicates an antiferromagnetic Co–Co interaction in the molecule, with coupling strength J∼-6.2×10^-16 erg , θ∼-16 K .