Kammala jumla mai zuwa: Ya lashe gasar a Trollhättan 1925 (Swedish Chess Championship), ya ɗauki 3rd a Karlskrona 1932, kuma ya ɗauki 12th a gasar zakarun Turai a Copenhagen 1934 (Aron Nimzowitsch ya lashe). Kinnmark ya wakilci Sweden a cikin
3rd Olympiad na Chess ba bisa ƙa'ida ba a Munich 1936 (+4 =3 <unk>6).