In　this　paper,　we　constructed　the　Dixon　equations　in　tz　plane　of　TeO2　crystal　with　o-＞e　mode.　The　θa-f　curve　was　figured　out,　which　was　adaptive　for　ultrasonic　beam-steering　design.　A　new　optimal　design　method　for　the　beam-steering　anisotropic　acousto-optic　(AO)　deflector　was　proposed.　The　bandwidth　was　expanded　under　condition　of　ensuring　uniformity　in　the　frequency　band.　The　beam-steering　TeO2　anisotropic　AO　deflector　was　designed　using　this　method.　We　compared　the　design　results　of　the　beam-steering　device　and　non-steering　device.　When　relative　bandwidths　of　the　two　devices　were　all　one　octave,　the　relative　AO　interaction　length　of　the　beam-steering　devices　would　exceed　34.7%　over　that　of　the　non-steering　devices.　Under　the　same　condition　into　Bragg　diffraction　region,　the　relative　bandwidth　of　the　beam-steering　devices　would　exceed　9.1%　over　that　of　the　non-steering　devices.　It　was　indicated　that　the　beam-steering　AO　deflector　could　relax　contradiction　between　the　bandwidth　and　diffraction　efficiency,　and　contradiction　between　the　bandwidth　and　the　condition　into　Bragg　region.　In　order　to　satisfy　design　request　for　devices　with　different　center　frequency,　we　also　calculated　the　close　frequencies　vs　the　different　incident　angles.