Wolves manager Dean Saunders admitted his team lacked the killer instinct in front of goal after Derby were stopped from scoring at home in the npower Championship for only the second time this season.
In a game of few chances, Derby's Adam Legzdins was the busier of the two keepers but Saunders felt he should have been celebrating his first win since he took over at Molineux last month.
He said: "I thought we should have won again.
"But we didn't have that killer touch in front of goal. We made enough chances and got enough balls into the box and we were solid and defended well.
"We did all the basics properly and on another day we win.
"We had a load of half-chances in front of goal and we've headed a few balls back into the middle but just not anticipated. That's where you need someone who's on their toes to anticipate and poke the ball in the net. But every point is vital and now we move on to Barnsley (on Tuesday night)."
Derby manager Nigel Clough was happy with the result achieved by a patched-up defence in which 19-year-old Michael Hoganson made his first start in place of the suspended left-back Gareth Roberts.
"It's a fair result against a Wolves side battling to stay in the division," said Clough.
"We don't have too many nil-nils here at Pride Park and in lots of ways it was a good one for us.
"Considering the back four we had out, we had four centre halves missing and a first choice left-back out so it's a brilliant clean sheet."