Ho₂CuTiO₆ double pervoskite is synthesized by solid state reaction method and the phase formation was confirmed by X-ray diffraction. Ho₂CuTiO₆ crystallizes in space group P63cm and are isostructural in AMnO₃ structure. We have investigated the effect of the presence of a magnetic ion (Ho³⁺∼10.4μ_B) in Ho₂CuTiO₆, on the magnetic properties, compared to that of an isostructural double perovskite containing Y-ion (non-magnetic), i.e., Y₂CuTiO₆. Magnetization measurements on Ho₂CuTiO₆ showed paramagnetic moment of 0.026μ_B/Ho at room temperature in an applied field of 7T although no saturation is observed at room temperature, whereas, at 5K, the paramagnetic moment was 0.3μ_B/Ho in the same field. Since this compound is non-centrosymmetric, it is of interest to look into the possibility of realizing multiferroicity (coexistence of magnetic and ferroelectric properties) in these double perovskite systems, especially the Ho-containing compound, for possible applications.