The defending champion was given a scare by 15-year-old Czech Nicole Vaidisova before claiming her place in the U.S. Open second round.
Amelie Mauresmo shocked the world number one 6-7, 7-5, 6-3 in the semi-finals of the Amelia Island championship.
The US Open champion said the only secret of her success is hard work.
Justine Henin, a shy, petite Belgian with a fierce desire to win, and big-serving Russian Marat Safin were honored as the new inductees into the International Tennis Hall of Fame in Newport, Rhode Island on Saturday.
As recently as last week Justine Henin spoke warmly of continuing her French Open love affair, of having another crack at Wimbledon and defending her Olympic title in Beijing.
World number one Justine Henin said on Monday she had set her sights on a future of leisurely travel and adult education as a way of making all the sacrifices required of her seem worthwhile.
Also making it to the last eight were Svetlana Kuznetsova and Czech teenager Nicole Vaidisova.
The defending champion will play eighth seed Marion Bartoli of France.
World number one Justine Henin scored and easy win over Marion Bartoli while Amelie Mauresmo went through when her Russian semi-final opponent Nadia Petrova pulled out with injury.
Justine Henin extended her unbeaten run to 28 matches with a 4-6, 6-2, 6-4 win over Russia's Svetlana Kuznetsova in the final of the Sydney International on Friday.
Women's world number one Justine Henin shrugs off comparisons to male counterpart Roger Federer and says she is giving little thought to her place in sporting history.
Justine Henin maintained her recent grand slam mastery over Serena Williams with a 7-6 6-1 triumph in the quarter-finals of the U.S. Open on Tuesday.
The Russian top seed lost 2-6,4-6 to Justine Henin-Hardenne in the German Open quarter-finals.
Justine Henin beat third seed Jelena Jankovic 7-6, 7-5 to capture her second Toronto Cup.
The world number one beat China's Peng Shuai 7-5, 6-2 in the third round.
Ana Ivanovic beat the Russian 6-2, 6-1 the enter the French Open final.
Maria Sharapova made it to her maiden semi-finals of the French Open by beating fellow Russian Anna Chakvetadze 6-3, 6-4.
Top seed Amelie Mauresmo and third seed Maria Sharapova also marched on with straight-sets victories at the US Open.\n
World number one Justine Henin of Belgium fought back from the brink of defeat to reach the semi-finals of the German Open today, beating fifth-seeded Serbian Jelena Jankovic.
Four-time champion Justine Henin showed nerves of steel to beat Maria Sharapova of Russia 6-2, 3-6, 6-3 in their delayed French Open third-round match on Sunday.
Justine Henin beat Italian Mara Santangelo 6-2, 6-1 in the quarterfinals of the Warsaw Cup.
The Belgian fresh from her victory in Dubai, bids for a Gulf double when she starts as overwhelming favourite at the Qatar Open.
Justine Henin continued her remarkable return to competitive tennis with a 7-6, 7-5 victory over 19th seed Nadia Petrova to reach the semi-finals of the Australian Open on Tuesday.
Elena Likhovtseva and Nadia Petrova also made it to the last four.
Justine Henin reached her third final in fourth months since her comeback when she brushed aside Shahar Peer in her semi-final at Stuttgart's indoor clay tournament on Saturday.
Carlos Moya won the 'battle of Mallorca', beating Rafael Nadal 2-6, 6-1, 6-1 in the second round
Justine Henin was inspired to return to tennis by Roger Federer and the decision was rewarded on Sunday when she beat Australia's Samantha Stosur in the final of the Stuttgart indoor tournament for her first title since her comeback. It was the Belgian's first tournament on clay, her favoured surface on which she has won four French Open titles, since she ended her 19-month self-imposed exile at the start of the year.
Justine Henin won her first title since her comeback when she beat Australia's Samantha Stosur in the final at the Stuttgart indoor tournament on Sunday.
Four-times French Open champion Justine Henin overcame a broken finger and fired-up German opponent to win her opening match at Stuttgart on Wednesday, her first clay court tournament since her comeback.
Kim Clijsters and Justine Henin were forced to draw on their vast experience to avoid being eliminated from the Brisbane International on Thursday. The two Belgians, both back on the professional circuit after retiring from the sport, scraped through their quarter-finals to remain on course for a possible showdown in Saturday's final.
Former world number one Justine Henin is set to play in next month's Sydney International after being granted a wildcard by organisers. Henin, who announced her comeback to the women's tour in September after a 15-month absence, makes her return in Brisbane in early January before playing in the Sydney tournament as part of her preparations for the Australian Open the following week.
Former World No 1 Justine Henin plans to make her return to tournament tennis at next year's Brisbane International as part of her preparations for the Australian Open.
World number one Justine Henin-Hardenne will miss the Wimbledon championships later this month.
Swiatek's dominance on clay that the top seed from Poland has won her last 20 matches at Roland Garros, as she bids for a third successive trophy to add to her maiden Grand Slam triumph in Paris four years ago