As　an　emerging　thermal-driven　membrane　technology,　membrane　distillation　(MD)　has　attracted　immense　attention　for　desalination　and　water　purification.　The　membranes　for　MD　generally　have　hydrophobic　or　superhydrophobic　properties　to　enable　vapor　permeation　without　liquid　passage　(e.g.,　wetting).　However,　conventional　MD　membranes　cannot　undergo　long　term　stable　operations　due　to　gradual　wetting　in　practical　applications　where　the　feed　solution　often　contains　multiple　low-surface　tension　contaminants　(e.g.,　oil).　Recently,　omniphobic　membranes　repelling　all　sorts　of　liquids　and　typically　having　ultralow　surface　energy　and　re-entrant　structures　have　been　developed　for　robust　MD　to　mitigate　wetting　and　fouling.　In　this　paper,　we　aim　to　provide　a　comprehensive　review　of　recent　progress　on　omniphobic　membranes.　Fundamentals,　desirable　properties,　advantages　and　applications　of　omniphobic　membranes　are　discussed.　We　also　summarize　the　research　efforts　and　methods　to　engineer　omniphobic　membranes.　Finally,　the　challenges　and　future　research　directions　on　omniphobic　membranes　are　discussed.　(C)　2021　Chinese　Chemical　Society　and　Institute　of　Materia　Medica,　Chinese　Academy　of　Medical　Sciences.　Published　by　Elsevier　B.V.　All　rights　reserved.