Juzda began his hockey career in the Western Junior Hockey League with the Elmwood Maple Leafs and Kenora Thistles, helping the Thistles earn a trip to the Memorial Cup final in 1940. He was called up by the New York Rangers during the 1940-41 season but spent a good part of the year with their American Hockey League affiliate, the Philadelphia Rockets. He appeared in 45 games with the Rangers during the 1941-42 season. Juzda put his National Hockey League career on hold when he volunteered for World War II service with the Royal Canadian Air Force. He maintained his connection with hockey by playing for the RCAF hockey team in the Winnipeg National Defense Hockey League.
At the conclusion of the war, Juzda was discharged from military service and he returned to hockey full-time. He joined the New Haven Ramblers of the AHL and was re-signed by the New York Rangers in time for the 1946–47 NHL season. He appeared in another 137 games with the Rangers before being traded to the Toronto Maple Leafs in a multi-player deal before the 1947–48 NHL season. With the Leafs, Juzda won two Stanley Cups in 1949 and 1951, playing alongside legendary Leaf teammates including Ted "Teeder" Kennedy, Bill Barilko and Howie Meeker. He appeared in a total of 211 games with the Leafs. He left the NHL after the 1952 season.
Career after the NHL
Juzda played for the Pittsburgh Hornets of the AHL in 1952 and earned an AHL 2nd team All-Star selection. In 1953 he returned to Winnipeg to play for the Winnipeg Maroons for ten seasons, making two Allan Cup final appearances. The Maroons toured Czechoslovakia where hockey veterans still refer to a bone-rattling body check as a "Juzda". In the mid-1950s Juzda had brief stops with the Brandon Wheat Kings and the Pine Falls Paper Kings. While Juzda officially retired from hockey after 1963, he played old-timers' hockey well into his seventies. Juzda coached hockey from levels midget to senior. Until his death, Juzda resided in Winnipeg, and still wore his Stanley Cup ring from the 1948–49 season. He was inducted into the Manitoba Sports Hall of Fame and Museum in 1992. He died on February 17, 2008.