Leconte won nine individual tournaments and ten doubles tournaments in his professional career in the ATP World Tour and reached Rank 5 in 1986 his highest placing in the tennis world rankings.
His greatest success as a single player at a Grand Slam tournament succeeded at the 1988 French Open in Paris, as he could penetrate to the final, where he lost to the Swede Mats Wilander. On the side of Yannick Noah he had been able to win the tournament in 1984. In 1985, he reached back with Noah, the doubles final of the U.S. Open.
Leconte played 1982-1994 without interruption in the French Davis Cup team, his overall record was about 41-25. He played both in single and in double competition. In the doubles alongside Guy Forget he remained unbeaten in eleven common games, his double balance was 17-5. With his victory in the match against Pete Sampras and in doubles with Guy Forget against Ken Flach and Robert Seguso he contributed greatly to win the Davis Cup in 1991, his last singles match against Andre Agassi has not played since France already led unaufholbar. In the same year Leconte and Forget by the sports newspaper L' Équipe France's athletes of the year ( " champion of champions" ) selected. In addition, Leconte won in 1986 with the French team to World Team Cup.
His last title was won Leconte at the 1993 Gerry Weber Open in singles, as well as at the Indian Wells Masters, along with Guy Forget. In 1996, he ended his career on the ATP Tour and performed in the sequence on the ATP Champions Tour.
Henri Leconte was in international professional tennis in the 1980s as " the brilliant clown ", which through facial expressions and gestures jokes operation with the audience during important matches. In his home country, but he was never as popular as his countryman Yannick Noah; many French were of the view that Leconte even more successful without his extravagances on the tennis court might have been.
At the 2010 Australian Open, he participated as a commentator for Australian TV. On 4 June 2010 he went to France at the TV Total Car Ball World Cup 2010.