Kmoch represented Austria in the Chess Olympiad three times. Here are his detailed results, according to olimpbase.org. At London 1927, he played board three and scored 6½/12 (+4 =5 -3). At Hamburg 1930, he was on board one, and scored 8/14 (+6 =4 -4), as Austria placed fourth. Then at Prague 1931, Kmoch was on board three and scored 9/15 (+4 =10 -1); overall, he scored 23½/41 (+14 =19 -8), for 57.3 per cent.