Gray polled 244 votes to win the award ahead of Zane Kirkwood (171 votes) and Kory Beard and Steven Summerton who tied on 137.
He was also named best team man.
The each member of the club's coaching panel voted on a 5-4-3-2-1 basis during the 2013 season with Gray receiving a perfect score of 25 in three games during the year.
Summerton and Kirkwood both won individual awards on the night. Summerton was presented the Fos Williams Memorial Trophy for Most Dedicated Player while Kirkwood won the Coaches' Award.
Jake Johansen was named the club's best first year player after making his debut as a 16-year-old at the start of the season and playing a number of league games.
Daniel Kulikowski was awarded the Anthony Williams Memorial Trophy as the club's most courageous Magpie, while Josh Thurgood was recognised for his year-high haul of goals.
A.R. McLean Medal leaderboard
Winner - Sam Gray, 244 votes
Second place - Zane Kirkwood, 171
Third place - Kory Beard and Steven Summerton, 137
Fifth place - Ben Newton, 109
Sixth place - Josh Thurgood, 86
Seventh place - Luke Slattery, 74
Eighth place - Graham Johncock, 64
Ninth place - Daniel Kulikowski, 57
Tenth place - Aseri Raikiwasa and Matthew Scanlon, 52
Twelfth place - Aaron Young, 49
Thirteenth place - James Watt, 48
Fourteenth place - James Meiklejohn, 42
Fifteenth place - Danny Butcher, 32
Sixteenth place - Nick Madden, 28
Seventeenth place - John Butcher and Henry Slattery, 20
Nineteenth place - Justin Hoskin, 16
Twentieth place - Matthew Rose, 14
Twenty-first place - Ryan McKenzie, 13
Twenty-second place - Jake Neade, 11
Twenty-third place - Adam Cockshell, 3
Twenty-fourth place - Brendon Ah Chee, 1
Port Adelaide SANFL League Award Winners
A.R. McLean Medal - Sam Gray
Runner Up – Zane Kirkwood
Third place – Kory Beard and Steven Summerton
Fos Williams Memorial Trophy for Most Dedicated Player – Steven Summerton
Coaches’ Trophy – Zane Kirkwood
Best First Year Player – Jake Johansen
Leading Goalkicker – Josh Thurgood
Anthony Williams Memorial Trophy for Most Courageous Player – Daniel Kulikowski
Bruce Webber Memorial Trophy for Best Team Man – Sam Gray
Max Porter Memorial Trophy for Most Consistent Player – Kory Beard
Bob Clayton Memorial award for best club man – John Settre
Vice Presidents’ trophy for best team man – Kory Beard
Port Adelaide SANFL Reserves Award Winners
Reserves Best and Fairest – Casey Carr and Edward Heath
Second place – James Brain
Third place – Louis Sharrad
Reserves Best First Year Player – Jamie McIntyre
Reserves Leading Goal Kicker – James Batty
Reserves Most Dedicated – Ben Sawford
Reserves Most Improved – Justin Graetz
Reserves Best Team Man – Edward Heath
Reserves Most Courageous – James Brain
Centre of Excellence (Under 18) Awards
Under-18 Best and Fairest – Jack Haarsma
Runner up – Tom Gray
Third place – Matthew Reed
Troy Broadbridge Memorial award for best team man – Matthew Reed
Ted McMahon Memorial award for best club man – Jack Cooper
Henry Kneebone Memorial award for most improved player – James Deeley-Godfrey
Under-18 Leading Goal Kicker – Ben Beioley
Trevor Head Memorial Under-18 Coaches’ trophy – Major Lienert
Alf Glennon Memorial award for most consistent player – Ryan Goldsworthy
Harold Penn Memorial award for most promising player – Anthony Prior
Under-18 Best Player in Finals award – Sean Davidson
