It was a poor point for the Gunners who now sit seven points behind Manchester United, Arsenal had plenty of possession during the game but had trouble in the last third of the park, rarely testing goalkeeper Paul Robinson.
"It was a frustrating performance because we had no pace in our game. Overall it was a flat performance with a lack of energy level, a lack of sharpness. It was quite a big concern to see what we have seen today," Wenger told PA Sport.
"It is difficult to identify one special thing.
"I felt we started okay and after our game became flat. Very few players looked to have the resources to put the pace up in the game.
"Part of it is down to the fact that Blackburn defended well but I don't put the majority of reasons down to that. I feel it is more down to our poor offensive performance today."