Spieth, 25, came into the week in the top 30 in points but couldn't recover from a second-round 71 in which he was one of just six players to shoot over par.
Bradley, who shot a final round 6-under 64 to finish at 20-under 260, thrust his arms toward the gray sky and drizzle in celebration and waved his family toward him.
Casey cited back pain for pulling out of the FedEx Cup playoff event at Aronimink on Monday morning.
Woods has been in the hunt at majors, finishing second at last month s PGA Championship and leading on Sunday in July s British Open, but still seeks his first win in more than five years.
Rose could have won in regulation, but his 16-foot par putt on the final hole lipped out to force the playoff.
"The belly putter was a tougher transition than I thought, and I kind of fell off the radar there for a little while".More news: EA under Criminal Investigation by Belgium Government over Illegal FIFA Lootboxes
CAMERON Smith is ecstatic at securing a Tour Championship debut and will lead the Aussie charge at the FedEx Cup finale courtesy of his hot start to the PGA Tour's $A93 million playoffs.
"I was in control of my own destiny and didn't have it this week, " said Spieth, who shot 73 on Monday at Aronimink Golf Club to tie for 54th. He is the fourth player from England, joining Luke Donald, Lee Westwood and Nick Faldo. "But that second round. you can't shoot over par here and that threw me so much (further back)". He obviously made his schedule around the intended reality that he would both make it to the Tour Championship and be on the Ryder Cup team.
"To have a chance to win again, this year, it's a very positive feeling", Woods said. "I had a hard time seeing my lines, and consequently, I didn't make anything". Spieth will end this year with 24; he ended last year with 23 and added nothing new in the process.
Under the new policy, which was approved at the policy board's final meeting on November 22, any player who participated in 25 or more official money events during the current or previous season is exempt from the requirement (of adding a new tournament).
By this stage Bradley was making his charge at 18-under for the tournament, while playing partner Rose was stretching away at the same mark and Xander Schauffele had moved one ahead. Because he didn't add to his schedule a tournament he had not played in the last four years, he is in violation of the PGA Tour's scheduling policy.