Magnetic structure and dielectric response of Ca3CoMnO6 have been studied as a function of temperature and applied magnetic field. Neutron diffraction experiments at low temperatures reveal changes in the magnetic structure in the temperature range 2–10 K. The pristine magnetic structure undergoes significant change with the application of magnetic field at these temperatures. Dielectric measurements reveal the presence of magnetoelectric coupling below magnetic ordering temperature (TN=15 K). The present work brings out the existence of a correlation between magnetic structure and dielectric properties.