Three new metal–organic frameworks Mn(3,5-PDC)(H2O)•(glycol) (JUC-58), M(3,5-PDC)(H2O)(glycol)•(H2O) (JUC-59-M, M = Co, Ni), have been synthesized by the assembly of tri-connected ligand pyridine-3,5-dicarboxylic acid (3,5-PDC) and different metals under the solvothermal condition in DMF and glycol. JUC-58 is an unusual example of 3-D chiral MOF with helical channels, while JUC-59-Co and JUC-59-Ni are isostructural and have non-centrosymmetric structures with a very rare 3-connected non-interpenetrated lig-b net. It is worth noting that glycol could play an important role in the formation and stabilization of these networks.