He achieved his success in various Grand Slam tournaments . Before the two US Open in 1971 and 1972 in doubles, he reached the semi-finals of the Wimbledon Championships in the individual discipline in 1967 and 1970 . 1973 reached the quarter-finals of the French Open and again the semi-finals at Wimbledon. According to the ATP rankings , his highest individual rank was eleventh. Before the introduction of the ATP rankings, he was ranked 8th in 1970.
Taylor was the only British member of the so-called Handsome Eight who was persuaded by Lamar Hunt to participate in the newly established World Championship Tennis Tour in 1968. Taylor's sense of fairness was remarkable. During his quarter-final match against 17-year-old Wimbledon debutant Björn Borg , he made himself popular with millions of viewers. He was already declared the winner by the referee before proposing to repeat the point because the linesman was unsure whether the ball was in or out of the field. Then the left-hander won the game. He announced his retirement from professional tennis in 1980. From February 2000 to January 2004 he was the team captain of the British Davis Cup team . Taylor also led the British women's Wightman Cup team to their final success in 1978.