Josef Němec took up boxing at the end of 1940s and rose to prominence a decade later. During his career, Němec, who boxed as a heavyweight for his entire career, competed at three Olympic Games and four European Championships. He won Olympic bronze in 1960 and was 1963 European Champion, while taking a bronze at the 1957 and 1959 European Championships. He was also nine times national champion between 1956-68 and won 308 of 320 bouts during his career. During his boxing career, Němec worked as a truck driver for a local construction company and after finishing his sporting career worked as a boxing coach. In his later years, Němec was president of Budweiser Samson Boxing Club in České Budějovice.