As a teenager Bezjak tried fencing and wrestling before changing to athletics. In 1953 he won the Yugoslav junior pentathlon championships, where he performed well not only in throwing, but also in sprint events, running 100 m in 11.3 and 200 m in 23.2 seconds. Next year he moved from his native Varaždin to Zagreb, and received a degree in economics there in 1960. During his hammer throwing career Bezjak had a strong rivalry with Krešimir Račić, with Bezjak winning the Yugoslav title in 1956, 1958, 1960 and 1963 and Račić in 1954, 1955, 1957, 1959, 1961, 1962 and 1964. Bezjak retired in 1965. He did not pursue a coaching career, and instead worked for the catering company Ključice in Novi Marof until 1991.[2]