The 28-year-old won the award ahead of Ryan Giggs and Wayne Roony.
Chairman of the FWA Steve Bates said: “Steven’s performances this season have been of the highest quality.
“His drive and desire have underpinned Liverpool’s Premier League title challenge and ensured a tight finish to the season.
“Steven is clearly in his prime and quite rightly rated one of the finest midfield players of his generation, and the FWA are delighted to honour his contribution to club and country.”