This study is focused on obtaining large CeAlO3 single crystals. Using Czochralski and Edge-Defined Film Fed Growth techniques, crystals of length up to 130 mm were obtained. The crystals belong to the tetragonal low temperature modification of CeAlO3, space group P4/mmm, a=3.7669Å, с=3.7967Å. Density and crystallographic parameters, as well as some optical, luminescence and magnetic properties of CeAlO3 were studied. The crystals demonstrate rather bright luminescence under UV-excitation, while no luminescence has been registered under Xrays. Ceramic and single crystalline CeAlO3 samples demonstrate p-type conductivity and promising paramagnetic properties.