{332}〈113〉　deformation　twinning　is　a　unique　deformation　mode　which　can　have　some　special　features　and　a　strong　influence　on　the　mechanical　properties　for　metastable　β-type　titanium　alloys.　{332}〈113〉　deformation　twinning　has　already　got　more　and　more　attention.　The　research　situation　and　observed　characteristics　for　the　{332}〈113〉　deformation　twinning　are　summarized　in　this　paper.　Some　typical　models　for　the　{332}〈113〉　twinning　are　reviewed,　and　their　assumptions　and　remaining　problems　are　presented　so　as　to　provide　useful　information　for　understanding　and　revealing　the　deformation　mechanism　of　{332}〈113〉　deformation　twinning.　©　2017,　Journal　of　Materials　Engineering.　All　right　reserved.