Young's goal was his first since January 2002
The Bluebirds continued their excellent away form to record their first win at Griffin Park since 1990.
Scott Young opened the scoring in the 51st minute. An excellent Graham Kavanagh free kick was well saved by home keeper Paul
Smith, but Young was there for the follow-up header to record his first goal since the FA Cup win over Leeds in January 2002.
Midfielder Martin Rowlands and Matt Somner wasted good chances for Brentford
before Robert Earnshaw sealed the win in the 77th minute with his 29th strike of the season.
Alan Mahon made a brave effort to win the ball and when Earnshaw was put one-on-one with the keeper the in-form striker made
no mistake as he drilled his left-footed shot home.
Seven points from three away games - we'd have taken that at the start of the week
After the match, Young expressed his delight with the Bluebirds' form away from Ninian Park.
"Seven points from three away games - we'd have taken that at the start of the week," he told BBC Wales Sport.
The win keeps Cardiff third in the table behind Wigan and Crewe.
Brentford: Paul Smith, Dobson, Frampton, Sonko, Somner, O'Connor, Hutchinson, Jay Smith, Rowlands, McCammon, Vine.
Subs: Julian, Marshall, Peters, Hughes, Constantine.
Cardiff: Alexander, Croft, Young, Prior, Barker, Boland, Kavanagh, Bonner, Mahon, Thorne, Earnshaw.
Subs: Legg, Bowen, Fortune-West, Collins, Margetson.
Referee: M Thorpe (Suffolk).