The second-generation driver has accumulated 134 wins in all three NASCAR national series.
It took two attempts at a green-white-checkered to complete the 250 lap race.
NASCAR plans to run the truck race at approximately 5:30 p.m. Sunday, as soon as possible after the conclusion of the STP 500 NASCAR Sprint Cup Series race.
Peters leads the driver championship point standings by two points.
Kyle Busch led the field four times for a total of 25 laps in the Kyle Busch Motorsports (KBM) No. 51 ToyotaCare Tundra.
Busch's victory was his first at Daytona in the Truck Series and the 36th of his career.
KBM starts the 2014 Truck season with Daytona.
Hornaday to Drive No. 30 Rheem Comfort Products Chevrolet Silverado at Daytona International Speedway.
Truex to Pilot No. 32 Bass Pro Shops Chevrolet Silverado in 2014 season opener.
The French driver will compete in the Truck series.
The primary sponsor of the No. 4 entry driven by Jeb Burton in the NASCAR Camping World Truck Series (NCWTS), has defaulted on payment to the team.
Erik Jones will drive 12 races while Kyle Busch will be behind the wheel for 10 races.