Johnson equalised Jordan Rhodes' opening goal and went on to score the winner at Hillsborough, after a Leroy Lita penalty for the home side was cancelled out by Scott Dann.
"He is a danger in that position. We say here that JJ will get you out your seat and sometimes he can dump you back in it as well that's the type of player he is. He was different class today," Jones said of Johnson.
"It's his day and that's what you want. He sets the tone, the standard; he has to do it again."
The victory takes the Owls up to 18th in the Championship on 50 points, three points clear of the relegation zone.
But Jones believes they face some crucial matches before they can secure their place in the division.
"We have got six cup finals. I've said it all along it could take 55 points, it could take as many as that," added Jones.
"Everyone is fighting, it's such a tough division and it's getting harder and harder.
"They are all hard games - we showed a lot of character, a lot of determination and a lot of grit and that is what you will need, not just good play."