Holm started playing tennis at the age of five. His parents were both associated with the sport; his mother was a tennis coach and his father was a former Swedish Davis Cup player. Holm became a professional tennis player in 1988 and in the first few years competed in doubles with his younger brother Niels. They collected their first world ranking points with the double title at a satellite tournament in Austria . The following year, Holm secured his first individual title at a Challenger tournament in Dublin and reached the semifinals of the tournament with his brother. In 1990 he won the Challenger tournament in Aptos and with his brother the title at the Challenger tournament in Geneva , the following year they won two more Challenger doubles in São Paulo and Istanbul .
1992 was Holms' most successful single year; he was awarded the Most Improved Player Award by the ATP . In addition to two titles on the Challenger Tour, he was twice in the final of an ATP tournament . In Washington he lost to Petr Korda and then in Tokyo to Ivan Lendl after surprisingly defeating Boris Becker 6-1 and 6-2 in the third round . His only final appearances on the ATP Tour remained , and in the following year he made three semi-finals. Instead, he celebrated his greatest successes now in doubles. Together with Stefan Edberg he was in the final of the Masters tournament in Cincinnati , with Anders Järryd he won the Swedish Open and Rotterdam and with Martin Damm the ATP tournament in Munich . In 1994 he won two more tournaments alongside Järryd, and together they also made it to the finals of the Masters tournament in Hamburg . In his career he won a total of five double titles, four more times he was in a double final. He reached his highest ranking in the ATP world rankings in 1993 with 17th place in singles and in 1994 with 10th place in doubles.
His best performance in a Grand Slam tournament was the round of 16 at Wimbledon in 1992. In doubles, he was in the 1994 round of 16 at the Australian Open .
Sweden
Rotterdam
David Adams Andrei Olchowski
Munich
Martin Damm
Brian Devening Tomas Nydahl
Zaragoza
Tokyo
Sébastien Lareau Patrick McEnroe