Horschel entered the final hole tied with Points, but the duo would have to wait a little while to figure out the final result as play was halted for weather concerns moments after they hit their tee shots.
It was the second weather delay of the afternoon.
After the threatening weather moved out, Horschel hit his third shot to 26 feet and watched as Points blasted his fourth from a greenside bunker to within five feet. Points wouldn't get a chance to force the playoff as Horschel drained his putt for birdie and the win.
Horschel will return to defend his title against a field that includes seven winners from this season.
The defending champion will try to become the first player to win back-to-back in New Orleans since Carlos Franco turned the trick in 1999 and 2000. Horschel will also try to become the first person to earn his first two wins on tour at the same event since Boo Weekley won the Heritage in 2007 and 2008.
This will be the last chance for players who are not already qualified to earn a spot in The Players Championship by moving into the top 10 in the FedExCup standings or top 50 of the Official World Golf Ranking.
Golf Channel will have full television coverage the first two days and early on the weekend before handing off to CBS for the afternoon.
The PGA Tour moves to North Carolina next week for the Wells Fargo Championship, where Derek Ernst parred the first playoff hole last year to defeat David Lynn and collect his first career win.
VOLVO CHINA OPEN, Genzon Golf Club, Shenzhen, China - The European Tour continues its Asian swing this week with the Volvo China Open.
Brett Rumford became the 31st player to secure back-to-back titles on the European Tour at this event last year as he cruised to a 4-stroke victory.
He had won the Ballantine's Championship the week prior with a playoff victory over Marcus Fraser and Peter Whiteford.
Rumford returns this year and he will try to defend his title against a strong field that includes 2011 winner Nicolas Colsaerts, who is coming off a second- place finish at last week's Maybank Malaysian Open.
Also in the field this week will be last year's European Tour money leader Henrik Stenson, 2013 PGA Champion Jason Dufner, Ian Poulter and Francesco Molinari.
Golf Channel will have coverage of all four rounds.
The European Tour will play the final of three events in Asia next week with The Championship at Laguna National in Singapore, which is a new event.
SWINGING SKIRTS LPGA CLASSIC, Lake Merced Golf Club, San Francisco, California - The LPGA heads back to the mainland this week for a new event, the Swinging Skirts LPGA Classic in San Francisco.
This is one of five new events during the 2014 season and it will be the first event played on American soil to be co-sanctioned by the Taiwan LPGA.
The field consists of all of the winners on tour this season except for Kraft Nabisco Championship champion Lexi Thompson.
Golf Channel will have television coverage of all four rounds.
The LPGA heads to Texas next week for the North Texas LPGA Shootout. Inbee Park birdied her final hole on Sunday to hold off overnight leader Carlota Ciganda and win the inaugural event in 2013.
WNB GOLF CLASSIC, Midland Country Club, Midland, Texas - The Web.com Tour returns this week with the WNB Golf Classic at Midland Country Club.
Alex Aragon fired a 6-under 66 in the final round of this event last year to come from behind and claim his second career Web.com Tour victory.
Aragon will not return this year as he has moved on to the PGA Tour, but two- time winner this season Carlos Ortiz will be in the field and can earn an instant promotion to the PGA Tour with another victory.
The other four winners on the year -- Alex Cejka, Adam Hadwin, Jon Curran and Kris Blanks -- will also be in the field.
There will be no television coverage of this event.
The Web.com Tour travels to Georgia next week for the South Georgia Classic, where Will Wilcox recorded a 4-stroke victory despite carding a 1-over 73 in the final round.