This　paper　reviews　recent　research　studies　on　the　buckling　of　carbon　nanotubes.　The　structure　and　properties　of　carbon　nanotubes　are　introduced　to　the　readers.　The　various　buckling　behaviors　exhibited　by　carbon　nanotubes　are　also　presented　herein.　The　main　factors,　such　as　dimensions,　boundary　conditions,　temperature,　strain　rate,　and　chirality,　influencing　the　buckling　behaviors　are　also　discussed,　as　well　as　a　brief　introduction　of　the　two　most　used　methods　for　analyzing　carbon　nanotubes,　i.e.,　continuum　models　and　atomistic　simulations.　Summary　and　recommendations　for　future　research　are　also　given.　Finally,　a　large　body　of　papers　is　given　in　the　reference　section.　It　is　hoped　that　this　paper　provides　current　knowledge　on　the　buckling　of　carbon　nanotubes,　reviews　the　computational　methods　for　determining　the　buckling　loads,　and　inspires　researchers　to　further　investigate　the　buckling　properties　of　carbon　nanotubes　for　practical　applications.　[DOI:　10.1115/1.4001936]