Antalpéter was a player of the Csepel SC from 1948 to 1960. He competed at the FIVB Men's Volleyball World Championship in 1949 where the team reached a seventh place. His best result is a third place from the 1950 Men's European Volleyball Championship. Two years later, the national team became fifth in the 1952 FIVB Men's Volleyball World Championship. He appeared in 64 international matches for the Hungarian national team since making his debut in 1947 until 1956. He won the National Championship seven times.