From Longman Dictionary of Contemporary Englishhave a strong stomachhave a strong stomachSTAND/BEARto be able to see or do things that are unpleasant without feeling sick or upset Don’t go and see this film unless you have a strong stomach. → stomach
Examples from the Corpus
have a strong stomach• It's a very violent film. You'll need a strong stomach to sit through it.• You have to have a strong stomach to invest in today's bond market. 