From Longman Dictionary of Contemporary Englishthe dubious honour/distinction/pleasure (of doing something)the dubious honour/distinction/pleasure (of doing something)a dubious honour etc is the opposite of an honour – used about something unpleasant that happens The Stephensons had the dubious honor of being the 100th family to lose their home in the fire. → dubious
Examples from the Corpus
the dubious honour/distinction/pleasure (of doing something)• Sarah, left alone, had the dubious distinction of being the last of all the Titfords in Frome.• Mr Edmond has the dubious honour of being tried by the District of Columbia's first anonymous jury.• I therefore inherited the dubious honour of making it available on loan to youth workers. 