The hosts saw a penalty appeal dismissed in the 20th minute when Kristoffer Ajer challenged Jordan Zemura, with Thomas Bramal stick to their original decision after reviewing the replays of the challenge on the pitchside monitor.
Bournemouth keeper Neto parried Mikkel Damsgaard’s effort to safety in the opening minutes in what proved to be the best chance of a rambling and rambling first half where Brentford had better attempts but no luck in front of goal.
Shannon Baptiste played a dinked pass in the way of Ivan Toneywho fired wide, while Ajer met Damsgaard’s looping cross but headed over the roof of the net in the final moments before the break.
Toney was only able to fire over the crossbar from close range after Josh Dasilva’s 75th-minute pass was cushioned before Bournemouth were denied another penalty appeal late in the game after the ball went appeared to touch Mathias Jensen’s hand from a corner.
Bournemouth have failed to score in their last three home games but extended their unbeaten streak to four matches to remain 12th in the league, while Brentford slipped to 10th.