Brady, who also received the top spot in the poll in 2011, earned NFL Most Valuable Player honors for the third time in his career in 2017.
"Thank you! I am beyond blessed," the 40-year-old Brady commented on the NFL's Instagram post. "Football is the ultimate team sport and I love playing for my teammates, coaches, organization, family and our fans!! Congratulations to all the players recognized for 2017, but 2018 is upon us."
Brady threw for a league-best 4,577 yards along with 32 touchdowns and only eight interceptions last season.
Steelers running back Le'Veon Bell finished fifth in the poll after rushing for 1,291 yards and a career-high nine touchdowns last season while catching a personal-best 85 passes for 655 yards and two scores.
Los Angeles Rams running back Todd Gurley and defensive tackle Aaron Donald ranked sixth and seventh, respectively. New Orleans Saints quarterback Drew Brees, Denver Broncos linebacker Von Miller and Green Bay Packers quarterback Aaron Rodgers rounded out the Top 10.