Logarithmic　spiral　bevel　gear　(LSBG)　has　received　increasing　attention　among　industry　and　academy　in　the　past　four　decades.　This　paper　attempts　to　survey　and　summarize　the　recent　research　and　development　of　LSBG,　provides　comprehensive　references　for　researchers　concerning　with　this　topic　and　helps　them　identify　further　research　topics.　The　objective　of　this　paper　is　to　review　published　papers　about　LSBG　focused　on　three　topics:　mathematical　model,　simulation　analysis,　processing　and　manufacturing.　More　specifically,　this　review　is　composed　of　three　related　parts　according　to　the　above　three　topics.　The　first　part　summarizes　the　method　of　building　the　three-dimensional　(3D)　gear　models　of　LSBG　including　sweeping　method,　cutting　principle　method　and　tooth　surface　equation　method.　The　second　part　involves　the　dynamic　research　of　LSBG　based　on　3D　gear　models,　which　provides　a　basis　in　the　design　of　LSBG.　The　final　part　reviews　the　method　of　manufacturing　LSBG　including　CNC　machining　centers　and　special　machine　tools.　The　special　machine　tool　processing　method　involves　local　conjugate　principle　and　generating　method.　The　well-known　open　problems　about　LSBG　are　finally　stated,　and　some　new　research　interests　are　also　pointed　out.　The　review　will　provide　valuable　references　for　further　research　on　LSBG　and　other　types　of　spiral　bevel　gears.　©　2020,　The　Brazilian　Society　of　Mechanical　Sciences　and　Engineering.