The Wales international, 23, topped the poll of journalists with a narrow victory over Manchester United forward Robin van Persie, who was last year's recipient when at Arsenal.
Bale's 24 goals in all competitions helped take Andre Villas-Boas' men into the quarter-finals of the Europa League and kept them in the race to secure a return to the Champions League via a top-four finish in the Barclays Premier League.
The Spurs midfielder will receive the prestigious FWA accolade, which has been running since 1948, at a gala dinner at the Lancaster London Hotel on May 9.
Bale was last week also named Player of the Year and Young Player of the Year by the Professional Footballers' Association.
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