Career
Šimůnek finished 8th in the Nordic combined and 23rd in ski jumping at the 1932 Winter Olympics in Lake Placid. Four years later he finished 5th in both the 4 x 10 km cross-country and the Nordic combined, and 11th in the 18 km cross-country event at the 1936 Winter Olympics in Garmisch-Partenkirchen. Šimůnek competed also in the 1948 Winter Olympics held in Saint Moritz.
He finished 36th in Nordic combined and 72nd in 18 km event.