Blues collected three home points for the first time in five attempts courtesy of a 59th minute goal from the recalled Chris Burke and an eigth goal of the season from Marlon King 17 minutes from the end of normal time.
"After 50 minutes I was thinking it was going to be one those nights where we were totally dominant and create lots of chances and it just wasn't going to happen for us," Clark told Sky Sports after the game
"We kept plugging and got what we deserved. If we had won by four or five goals Bristol City could not have had any complaints.
"My wide men probably had more chances and shots on goal than they have had in all the previous games combined because we were positive and played off the threat of our strikers.
"We took risks which we are allowed to do playing at home. This is the only way we are going to be progressive.
"We played some excellent stuff at times and I am just a little disappointed we did not win by four or five goals to give the crowd a real boost.
"What we’ve got to do now is go on a run of winning football matches. We cannot have the up and down scenario."