Akbari managed to qualify for the 1967 Wimbledon Championships but was beaten by Sergei Likhachev in the first round. He is the first Iranian Tennis player who played at Roland Garros without having had to play any qualification rounds. He competed in the 1969 French Open and lost again in the opening round, but did manage to take Philosophy Dent into a fifth set.
Akbari was a member of Iran Davis Cup team from 1958 to 1975, where he was captain since 1974. He appeared at 15 Davis Cup campaigns for Iran, which is a national record. His 17 singles wins is also an Iranian Davis Cup record, that was equaled by Anoosha Shahgholi in 2011. He also won three doubles rubbers during his career. He won a bronze medal in the men"s singles event at the 1966 Asian Games and a silver medal at the 1974 Asian Games, where he lost in the gold medal playoff to Toshiro Sakai. Akbari received Davis Cup Commitment Award for his 15 years honorific representing his country in Davis Cup.
