CeAlO3　crystals　were　grown　in　different　growth　atmospheres　by　the　Czochralski　method.　The　lattice　parameters　and　space　group　of　CeAlO3　crystal　were　determined　by　Rietveld　structure　refinement　of　X-ray　diffraction　(XRD)　data.　The　influence　of　Ce4+　ions　in　the　crystal　on　the　transmittance　and　crystal　color　was　confirmed　by　XPS　analysis.　Magnetization　curve　at　room　temperature　and　temperature　dependencies　of　the　magnetic　susceptibility　in　two　different　directions　were　measured,　indicating　that　CeAlO3　crystal　has　remarkable　magnetic　anisotropy　and　there　is　an　abnormal　magnetic　behavior　in　the　vertical　＜001＞　direction　in　the　temperature　range　of　50-150　K.　Faraday　characteristics　of　CeAlO3　crystal　were　investigated　at　room　temperature.　Verdet　constants　of　CeAlO3　at　532,　635　and　1064　nm　are　about　2.1　times　as　large　as　those　of　CeF3.　The　reason　of　large　Verdet　constants　was　analyzed　based　on　the　Van　Vleck-Hebb　theory　and　the　magnetic　circular　dichroism　(MCD)　spectrum.