The Rams got the better of the Bees 2-0 at the iPro Stadium in the Championship, thanks to goals from Chris Martin and Tom Ince.
Johnson, who joined Derby from Premier League side Norwich City in the summer transfer window, started the match and played for 80 minutes.
Massive win today for us, big team performance, good to get the first home win under our belt!— Bradley Johnson (@BradJohnson15) October 3, 2015
Good win today— George Thorne (@GeorgeThorne15) October 3, 2015
Over the course of the 90 minutes at the iPro Stadium, hosts Derby had 53% of the possession, took 21 shots of which six were on target, and earned 12 corners.
Paul Clement’s side are seventh in the Championship table at the moment with 17 points from 10 matches, just a point behind sixth-placed Burnley.