Polycrystalline Pd-m-[CoPd](n), multilayers were grown by e-beam evaporation on polyimide, Si and glass substrates. The number of Pd atomic layers in one multilayer period was m approximate to 15 while the number n, of the alloyed layers ranged between 2 and 6. Transmission electron microscopy experiments confirmed the excellent multilayer growth. The grain size of the crystals was determined to be 10-30 nm. No columnar growth was observed. Super Conducting Quantum Interference Device (SQUID) magnetometry at temperatures of 10-300 K revealed a large perpendicular magnetic anisotropy with a squareness ratio of approximately 1 for all thicknesses. The film with the thinnest magnetic layers presented a reduced remanence at room temperature, which is attributed to the formation of ferromagnetic domains near the Curie temperature.