LONDON — Venus Williams’s mother could not stop smiling and laughing. She had just watched her 37-year-old daughter reach the Wimbledon semifinals for the 10th time and, well, the whole thing was just a bit hard to believe.
‘‘She says, ‘I love my job!’ and she means it. I guess she’s kind of like a boxer: People think it’s time for her to quit because she’s too old,’’ Oracene Price said after leaving Centre Court, where the roof was shut because of rain Tuesday. ‘‘But she keeps getting back in the ring — and she seems to be doing pretty well. This is really amazing.’’
Enjoying a career renaissance deep into her 30s, despite dealing with an energy-sapping disease, Williams rode a strong serve that produced eight aces, imposing returns, and her court coverage of old to a 6-3, 7-5 victory over French Open champion Jelena Ostapenko of Latvia, edging closer to a sixth singles title at the All England Club.
‘‘The competition keeps you growing,’’ Williams said. ‘‘You have to get better if you want to stay relevant.’’
Somehow, at age 37, she has done that. This was her 100th Wimbledon match, coming in her 20th appearance. The first of her trophies at the grass-court tournament came in 2000. And now, for the third match in a row, Williams beat a player who was born in 1997 — after she made her Grand Slam debut that year.
‘‘The first one was 20 years ago? Lord,’’ Price said, her eyes wide, her chuckle loud. ‘‘Well, you know, that’s a long time.’’
This is not exactly new, though. Williams is the only woman to have made the fourth round at each of the past six majors, and now she’s into her third semifinal in that span. She made it that far at Wimbledon last year, too, before losing, and got to the final at the Australian Open in January, when she was beaten by her younger sister, Serena.
Williams revealed in 2011 that she was diagnosed with Sjogren’s syndrome, which can sap energy and cause joint pain. As time went on, there were questions about whether she might retire, especially after a half-dozen first-round losses at majors. But she kept going, and with her recent successes, a championship this week would return the American to the top five in the rankings for the first time in six years.
‘‘I just always felt like I have to keep trying,’’ said Williams, who repeatedly took advantage of Ostapenko’s second serves at around 70 miles per hour. ‘‘That’s all I felt like.’’
To get to what would be her ninth final at the All England Club, the 10th-seeded Williams will need to win Thursday against No. 6 Johanna Konta, the first British woman in the Wimbledon semifinals since Virginia Wade was the runner-up in 1978.
With Wade, the 1977 champion, sitting in the Royal Box, Konta prevented Simona Halep from rising to No. 1 by beating her, 6-7 (2-7), 7-6 (7-5), 6-4. The result means that Karolina Pliskova, who lost in the second round, will replace Angelique Kerber, who departed in the fourth, atop the rankings next week.
The other semifinal will be Garbine Muguruza of Spain against 87th-ranked Magdalena Rybarikova of Slovakia.
In the last men’s fourth-round match, Novak Djokovic took a medical timeout to have his right shoulder massaged, then had little trouble eliminating 51st-ranked Adrian Mannarino of France, 6-2, 7-6 (7-5), 6-4.