The high-temperature ferroelectric order and a remarkable magnetoelectric effect driven by the magnetic field cooling are reported in R 2 BaCuO 5 (R = Er, Dy, Sm) series. The ferroelectric (FE) orders are observed at much higher temperatures than their magnetic orders for all three members. The value of FE Curie temperature (T FE) is considerably high as ∼235 K with the polarization value (P) of ∼1410 μC/m 2 for a 4 kV/cm poling field in the case of Er 2 BaCuO 5 , whereas the values of T FE and P are also promising as ∼232 and ∼992 μC/m 2 for Dy 2 BaCuO 5 , and ∼184 K and ∼980 μC/m 2 for Sm 2 BaCuO 5. The synchrotron diffraction studies of Dy 2 BaCuO 5 confirm a structural transition at T FE to a polar Pna2 1 structure, which correlates the FE order. An unusual magnetoelectric coupling is observed below the R order for Er and Dy compounds and below the Cu order for Sm compound, when the pyroelectric current is recorded only with the magnetic field both in heating and cooling cycles, i.e., the typical magnetic field cooled effect. The magnetic field cooled effect driven emergence of polarization is ferroelectric in nature, as it reverses due to the opposite poling field.