Our fans were quick to praise the pair - and a few of their comments are posted below.
Remember, join the global conversation and have your say on Facebook and @SpursOfficial on Twitter.
SOCIAL SPURS - GARETH AND JAN IN PFA TEAM
Faisal Romeo - Respect to Jan Vertonghen, this was his first season and he was outstanding.
Kevin Baker - They have both been fantastic! Spurs & proud.
Edward Chambers - Bale the goalscorer and creator and Jan the rock and...goalscorer!
Richard Jermy - Well done to Gareth Bale, the club and fans should be rightly proud of his much deserved achievement. Well done to Jan Vertonghen too - what a bargain he turned out to be!
Jordan Thomas - Jan is an absolute hero! Well on his way to be one of our best signings to date! COYS!
Kjersti Weimoth Sørensen - There is no better inspiration for my ten year old son Theodor, who's only Spurs fan among his friends in Norway.
Charlie Martin - Magnificent performance for both of them, Gareth deserves the awards though, but nice debut season for Jan.
Matt Staniforth - Couldn't have asked for much more from either player; both simply outstanding this season!
Kathy Ellis - So good to see Vertonghen getting the recognition he deserves - both fantastic players.
Mark O'Neill - Both worthy of inclusion in the team of the year. Bale was the deserved winner of both awards.
Irina Lawrence - This was Jan Vertonghen's first season and he was outstanding. Congratulations to them Both Gareth and Jan, we are so proud of you.
Of course, Gareth later picked up both PFA Player and Young Player of the Year Awards, only the third player to win both in the same season in the 40-year history of the awards.