The result means Konta becomes the first British woman since Virginia Wade in 1978 to make the semi-final stage.
Wade watched from the Royal Box as Konta produced the performance of her career to beat an opponent many consider the best all-rounder in women’s tennis.
The charge against Halep is she struggles to handle the pressure but the same accusation can’t be made against Konta, who has shown remarkable fortitude to come through three of the most gripping matches at this year’s Championships.
And the British number one insists that she has always believed in herself.
“I’ve always believed in my own ability, ever since I was nine years old, and I’ve always dreamt big,” she said.
“But I’m much more process-orientated, so I don’t give myself too much time to dream. I’m more focused on the work.
“I knew Simona wasn’t going to give me much for free and I had to create my own chances and I took a few of them. I felt consistent in my approach and just continued to trust in myself.
“To be in the semi-finals of my home Slam and to play like that in front of a full Centre Court was pretty special. It was a tremendous match, played at a very high level.”
Konta faces Venus Williams on Thursday for spot in the final.
