Luczak won his first Futures tournament in June 2001 at the age of 21 years in the United States. In July 2002 he won his first Challenger tournament in Canadian Granby (Québec). His first Grand Slam tournament he played at the Australian Open 2003 in Melbourne, where he reached the third round at first, but lost there against the Croatians Mario Ančić. At the tournament in Costa do Sauipe (Brazil ) in 2005, he reached the semi-finals.
His greatest success as part of the ATP Tour celebrated Luczak in 2008 by reaching the final of the tournament in Buenos Aires, where he was defeated with his partner Werner Esch Auer of Austria against Agustin Calleri (Argentina) and Luis Horna (Peru ). Peter Luczak won nine Challenger and four futures tournaments. Of these 13 titles he won seven on sand and six on hard court. He is also the record holder of the American University in Fresno for most winning tennis matches in a row. Between 1998 and 2001, he was unbeaten 27 games in a row.
After the first round defeat in the doubles at the Australian Open 2012 Luczak ended his career.