You'll probably stumble upon this like I did. Besides your punches and your knee raise (your kick), all of the other actions you perform in this game are considered "Super Attacks", so as you keep using them, you will inevitably stop the computer from performing their super attack by performing one of your own. If you want the technicals, that's exactly what this entails... the computer is about to or is performing a super attack, and you perform another super attack to cancel/counter theirs. Example: They are performing a straight on attack and you perform a jump attack to counter.
If you play through the challenges mode labeled "Super attacks I and II", you will actually pop this achievement because you can't pass the stage without doing this.