The Reds headed into the game at Griffin Park on the back of a 2-1 defeat to Wolverhampton Wanderers at the City Ground.
It was expected to be a tough match for Forest at Brentford, but the visitors from Nottingham managed to pick up a point.
After a goalless first half, Tyler Walker put Forest in the lead just past the hour mark when he fired home from close range with his left foot.
Walker, who had come on for Arsenal-owned striker Chuba Akpom in the 41st minute, was replaced by Chelsea-owned Todd Kane in the 75th minute.
Kane scored the second for the Reds just minutes later, but Andre Gray’s strike in the 80th minute and Jota's injury-time goal saw the points shared.
When Walker came on as a substitute in the final minutes of the first half, suspended midfielder Gary Gardner predicted that he would score the winner.
The 18-year-old forward did not score the winner, but it was his goal that gave Forest more confidence and the lead.
Gardner’s prediction did not come true, but the Aston Villa-owned midfielder got it right about Walker scoring at least.
It was his first goal in four Championship matches, and one suspects that there will be many to follow.