Bradley topped Rose with a par on the first playoff hole to win the rain-plagued BMW Championship for his first PGA Tour victory in six years. From first becoming a top-10 player in 2007 after a poor start to his career; re-entering the top 10 in 2012; rising to third in the world in 2013 after a runner-up finish at the AP Invitational; up to second after the 2018 Open; and now to No 1 as the 2017-18 PGA Tour season wraps up.
Rose led Bradley by a shot heading on to the last, but was forced to play an extra hole after his par putt lipped out following a wayward drive left off the tee.
Both Bradley and Rose missed the green to the right on the playoff hole.
"Yeah it has been a goal of mine all season to make it to the Tour Championships, so I'm pretty proud to pull it off", Smith said. Rose, who overtook Dustin Johnson, joins Nick Faldo, Lee Westwood and Luke Donald as the only Englishmen to reach No. 1. "But that second round. you can't shoot over par here and that threw me so much (further back)".
"When you talk about your career, those are the three highlights (winning a Major, playing in the Ryder Cup and being World No.1)". "It made me feel calm, which is rare".
Speaking to Sky Sports about the final FedEx tournament, Rose said: "No 2 is an incredible spot to be in, and it's a week where there are many scenarios in play".
Rose waits through a day of rain at BMW Championship
The top 30 on a season-long points list advance to the Tour Championship in Atlanta starting on Thursday week. Spieth started 27th in the FedEx Cup standings and took a step backward, finishing with a 73 to tie for 55th.
Spieth failed to qualify for the season-ending Tour Championship next week after finishing tied for 55th at the BMW Championship and slipping from 27th to 31st in the FedExCup standings.
The Ryder Cup at the end of the month would have counted as Spieth's 25th official start, but the showdown in Paris will now be his 24th and leaves him facing the prospect of a large fine or even a suspension.
Spieth began the year ranked second in the world but has dropped to 10th after failing to win and posting just five top-10 finishes.
"I obviously accept whatever fine it is and move on and try and add one every year, but it's kind of tough", Spieth said. Bradley shot a 64, Rose a 67, Schauffele a 67, Woods a 65, Horschel a 64, and McIlroy a 68.
As part of a rule put in place last year to help strengthen fields, the tour requires players who are not lifetime members or veterans (think Woods, Phil Mickelson, Vijay Singh) to play at least one event per year that they have not played in the past four.