The 20th seed, who stunned Maria Sharapova in the fourth round, was far too good for a flat Radwanska, comprehensively winning 6-1 6-2 in 70 minutes to become the first Slovak to reach a grand slam final.
Cibulkova, once a French Open semi-finalist, must have been surprised by just how easily she swept into her first grand slam decider.
Always energetic, Cibulkova did what she had to on Thursday with 21 winners and 20 unforced errors.
The 24-year-old Slovak has dropped just one set on her way to the final, where Chinese fourth seed Li Na awaits on Saturday.
But the biggest surprise was Radwanska's uncharacteristically error-riddled and flat display.
The Polish fifth seed – runner-up at Wimbledon in 2012 – never moved as well as expected and 24 unforced errors summed up her display.
If the on-court energy was any indicator, Cibulkova was unsurprisingly the livelier early on.
And that helped her bounce out to a 2-0 lead as Radwanska, perhaps flat after her hard-fought win over Victoria Azarenka, battled.
Cibulkova led 3-1 after two long, grinding games as her power and aggression troubled an opponent she had lost five of her previous six meetings against.
Having narrowly missed a forehand down the line, Cibulkova attacked a Radwanska second serve to grab a second break and 4-1 advantage.
Despite perhaps being more even than the score-line suggested, the first set went 6-1 in Cibulkova's favour in 37 minutes.
The 2009 French Open semi-finalist was inconsistent with 10 winners and 11 unforced errors, but her ability to turn defence into offence was the key.
Uncharacteristically, Radwanska committed 15 unforced errors.
When Cibulkova came from 0-40 down to take a 3-0 lead in the second set, Radwanska's chances looked dashed.
Not even a lucky net cord at break point down in the fourth game could turn Radwanska's match around.
The Pole did manage to get on the board in the fifth game and recovered from 0-30 down to make it 4-2 but the pressure on Cibulkova was eased when she held for 5-2 after a tough game.
And that was to prove the end of what little fight Radwanska provided as she committed three unforced errors in a soft final game.