Berberyan came in eleventh place at the 2004 Summer Olympics in Athens. After the Olympics, he moved up in weight class, from 55 kg to 60 kg. He debuted in this new weight class in 2005. Berberyan won a bronze medal at the 2005 World Wrestling Championships that year. His career was interrupted for the next two years due to his recent marriage and move to the United States. Berberyan returned to the mat in 2008 and qualified to take part at the 2008 Summer Olympics in Beijing. He came in seventeenth place. After that, Martin Berberyan decided to complete his wrestling career. As of 2008, he is the main wrestling coach at the Los Angeles Sports Club, International Sports Union.