"The players kept going throughout the game and we had the majority of the play but their defence played well," said Jones.
"We fell asleep to give them their early goal and the same thing happened for their second. It's frustrating for us but after keeping so many clean sheets we have switched off twice and it has been very costly.
"We are trying to get a pattern of play with a good delivery but our final ball lets us down at times."
Alex McLeish was a much happier man after seeing his side secure the points.
"We defended well against some real pressure and to score twice from only three shots on goal was a bonus.
"I'd really prefer us to go at teams rather than sit back and soak up the pressure," he added.
"But we defended very well and I don't think Cardiff had many clear-cut chances."