Čihák was born in Kratonohy. Between the wars he was battalion commander, second in regiment command and regiment commander. From 1936 he was commander of the infantry school in Milovice. After beginning of Nazi occupation he left Czechoslovakia. In 1940 he was commander of Czechoslovak troops in conflicts on the German-French front (so-called divisional infantry). He was Executive officer of National defence department in Britain (Czechoslovak government in exile) from July 1940 to January 1941. He participated in the building of the Czechoslovak army in foreign countries. He died in London.