Small magnetic domains (70 nm) have been observed by magnetic force microscopy in ordered FePd thin films grown by molecular-beam epitaxy. The layers exhibit a perpendicular magnetic anisotropy induced by uniaxial ${\mathrm{L}1}_{0}$ [CuAu(I)-type] chemical ordering. The magnetization curves show that the easy magnetization axis is perpendicular to the film plane and their interpretation with a micromagnetic model leads to the correct size of the domains.