The World number one beat Croatian Donna Vekic 6-3 4-6 7-6 (7-4) at the Porsche Tennis Grand Prix.
Osaka will now face Anett Kontaveit, who was able to progress after Victoria Azarenka retired.
Petra Kvitova will face Kiki Bertens in the other semi-final.
Kane double rescues England in comeback win over DR Congo
Harry Kane scored twice in the final 15 minutes to see England through to the World Cup round of 16 as they left it late overcome a dogged Democratic Republic of Congo 2-1 on Wednesday.
Gauff survives Wimbledon scare, Krejcikova rallies past Andreeva
Coco Gauff managed to shrug off her Wimbledon gremlins in the nick of time to avoid another early exit on Wednesday.
England-India T20 abandoned because of rain
England and India were left frustrated as the opening game of their three-match T20 series was abandoned because of rain at the halfway stage.
Sinner, Medvedev and Sabalenka reach Wimbledon round three
Defending Wimbledon champion Jannik Sinner had several members of Europe's Ryder Cup team watching his second-round clash with Nuno Borges on Wednesday and in golfing parlance he kept it straight down the middle in a relatively risk-free victory.
Osaka brings the style again to beat Gasanova in Wimbledon second round
Four-times Grand Slam champion Naomi Osaka continued her impressive start to her Wimbledon campaign with a clinical 6-3 6-2 victory over Russian qualifier Anastasia Gasanova to reach the third round on a sunny Wednesday.
No More Rhyme
Debbie Gibson
One More Night
Phil Collins
I Don't Wanna Miss A Thing
Aerosmith
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Why did they choose bowling as their hobby, and what makes it unique compared to other activities?
