Stephens came through a pulsating three-set encounter – 6-1, 0-6, 7-5 to book her place in the final tomorrow.
Stephens was aiming to reach her maiden Grand Slam final.
She got off to the perfect start too.
Pressurising Williams paid off as the 24-year-old forced the former US Open champion into unforced errors.
Stephens stepped up the pace and she took the opener with relative ease – winning it 6-1 inside 25 minutes.
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Williams looked shell-shocked and she was slow to react.
The match seemed to turn on its head in the second set as Williams found her rhythm.
She raced through the second set, taking it to love.
The momentum seemed to be with Williams, but Stephens got the early break in the second set.
But Williams then broke back Stephens to swing the semi-final in her favour.
Williams put together a sequence of winning three games before Stephens stopped the rot.
Williams was looking very strong serve and won a few cheap points.
Stephens was broken again on serve when her 62 mph serve was pounced on by Williams.
Stephens served to stay in the match and she did despite the onslaught from Williams.
And Stephens ultimately showed the greater nerve to then serve it out for the match and win the third set 7-5.