Jedinak, who also skippers the English Premier League side, wn the trophy at the club's presentation night in London.
His glorious effort came in the 81st minute of Palace's emphatic 3-1 triumph over the Reds at Selhurst Park, which snapped their five-game winless run.
From 30 yards out, Australia's set-piece specialist arched a glorious curler that sailed straight past Liverpool keeper Simon Mignolet and into the top-right corner.
Jedinak won the gong ahead of team-mates Yannick Bolasie, Jason Puncheon and Marouane Chamakh, after picking up 48 per cent of votes by the club's digital members.
The 30-year-old midfielder played a big part in the Socceroos' historic Asian Cup triumph in January, and in March produced a stunning free-kick in Australia's 2-2 friendly with world champions Germany.
Twelfth-placed Crystal Palace will visit Anfield this weekend, in what will be veteran Liverpool captain Steven Gerrard's final home match for the club before his move to Los Angeles Galaxy at season's end.
