Cardiff took the lead after just three minutes, a long ball headed on by Peter Thorne for Cameron Jerome to coolly slot home from six yards.
They stayed in front until 75 minutes when Carl Cort nodded a corner down for Miller to finish from close range.
Junichi Inamoto came on from the bench but could not win it for the Bluebirds.
Wolves manager Glenn Hoddle
"My three games in charge have all been the same story - one down to a sloppy goal
and then having to work hard to level.
"I am not panicking, but I would like to see how we would cope after going a
"Cardiff's front two were very hard working and caused us a
few problems, but their goal was down to poor defending.
"We showed great spirit but still have to be more clinical in the last
Cardiff: Warner, Weston, Gabbidon, Collins, Barker,
McAnuff (Inamoto 80), Boland, Vidmar, Ledley (Langley 56),
Thorne, Jerome (Fleetwood 80).
Subs Not Used: Bullock, Alexander.
Goals: Jerome 17.
Wolverhampton: Oakes, Newton (Clyde 45), Lescott, Craddock,
Naylor, Kennedy, Olofinjana (Seol 68), Andrews,
Cooper (Cameron 45), Miller, Cort.
Subs Not Used: Murray, Ince.
Goals: Miller 75.
Ref: P Taylor (Hertfordshire).