PACS 74.78. Fk, 75.47.Lx Current transport through thin antiferromagnetic barriers has been studied with respect to its dependence on temperature and voltage in planar YBa 2 Cu 3 O 7-δ (∼ 100 nm)/La 1/3 Ca 2/3 MnO 3 (∼7 nm)/La 2/3 Ca 1/3 MnO 3 (∼ 80 nm) heterojunctions with c-axis oriented YBa 2 Cu 3 O 7-δ layer. Current-voltage (I-V) measurements were made on test junctions with a standard area of 20×40 µm 2 in a four-terminal configuration. The dynamic conductance G ≡ dI/dV versus voltage displayed a pronounced zero-bias conductance peak in the low-voltage range, with its size being strongly dependent on the temperature; the height of this peak increases as the temperature decreases. For a given temperature, an abrupt conductance decreasing is observed toward a bit higher values of the voltage. The low values of the junction resistance indicated that direct metallic conduction is shorting the tunneling current.