From Longman Dictionary of Contemporary Englishdeadpandead‧pan /ˈdedpæn/ adjectiveEXPRESSION ON somebody'S FACEsounding and looking completely serious when you are saying or doing something funnydeadpan voice/expression etc
deadpan humourExamples from the Corpusdeadpan• This, and the fact that Mike was a competitor, seemed to get Dmitri edgy: his face went entirely deadpan.• "We're out of gas, so I guess you'll have to walk home, " he said, giving me a deadpanexpression.• a deadpan expression• Garcia turns in another soulful-eyed but deadpanperformance.• The thirdlady who wants more than lunch is Bowles, who describes their flight from convention in deadpanstyle.Origindeadpan(1900-2000)dead + pan“face”((1900-2000))