The 20-year-old from Latvia beat Ukrainian fourth seed Elina Svitolina 6-3 7-6 (8-6).
The youngest and most fearless player in the draw stands between Venus Williams and her quest to become the oldest Wimbledon women's champion in half a century of professional tennis.
"You'll have to ask me when I'm retired, what it feels like", she said.
As a result Kerber will now be replaced a No 1 by either Karolina Pliskova or Simona Halep.
Blood shortage prompts call for donations from American Red Cross
All those who come to donate at this blood drive on July 11 will receive one free ticket, valid for entry to participating U.S. Donors need to schedule appointments to give blood, by going online at redcrossblood.org or calling 1-800-733-2767.
Stocks open mixed ahead of FOMC minutes
Yellen said last month that asset valuations look "somewhat rich" using traditional metrics like price-earnings ratios. The increase of 0.25 percentage point raised the rate to between 1% and 1.25%.
After 'No Compromise' Warning, China Makes New Accusation Against India
The report asked New Delhi to safeguard the security of Chinese-funded institutions against possible anti-China riots. The editorial said India would suffer greater losses than it did in 1962, if it incited conflict.
Williams, who last won the Grand Slam grass-court event in 2008, powered through to her 13th Wimbledon quarterfinal, hitting seven aces and winning 31 of 36 first-serve points against No. 27 seed Konjuh.
She eventually blasted her way into the quarter-finals for the first time with a 6-3 7-6 (6) victory on Monday in which she struck a remarkable 42 winners and made 39 unforced errors. Azarenka, who gave birth to son Leo in December, was playing in just her second tournament since returning to competition.
And Halep will banish thoughts about the number one ranking, saying: "I want to win more, not just one match".
And Venus looks on course to reach her first SW19 final since 2009 after sailing past Konjuh into the quarter-finals.
American CoCo Vandeweghe, the 24th seed, reached her second Grand Slam quarterfinal of 2017 with a 7-6 (4), 6-4 win over former No. 1 and fifth-seeded Caroline Wozniacki of Denmark. "I didn't watch any of the French when I was finished with it", Williams said. She's riding on that momentum, confidence, I'm sure.