West Brom manager Steve Bruce said: "We simply didn't play well enough.
"After some really good performances against Watford and then Blackburn, unfortunately, that one tonight was completely different. That's the frustrating thing.
"We haven't got beaten in the game, but we certainly haven't done enough to win it and I have to be as honest as that."
Cardiff manager Steve Morison told BBC Radio Wales: "It's a great point. This is a tough place to come.
"We had to deal with pressure in the first 20 minutes and, off the back of that, it was a pretty even game. It shows how far we've come.
"To come away from West Brom with a point, you'd be pleased. A draw was about a fair result."