Morgenbesser taught at Swarthmore College and then The New School for Social Research.[1] He then took a position at Columbia University in 1954.[8][10][3][4] He was a Guggenheim Fellow in 1963.[11] And by 1966 he was made a full professor at Columbia.[12][13] In 1975 he was named the John Dewey Professor of Philosophy there.[2][8] This position he held until retirement.[14]