The former Spurs midfielder said he was "very surprised" not to see more players from the club recognised for their outstanding seasons.
Premier League top scorer Harry Kane is the only Spurs player to have been nominated for the senior award this season, with league-leading Leicester City having three representatives alongside West Ham United's Dimitri Payet and Arsenal's Mesut Ozil.
Kane has also been named on the Young Player of the Year shortlist, alongside breakthrough teenage star Dele Alli who was overlooked for the senior category.
However, Hazard, who won the FA Cup and UEFA Cup with Spurs in the early 1980s, clearly believes strongly that the club should have had more players in the running for the honours.
Very suprised no Moussa Toby or Dele in PFA awards list they have been amazing this season, some not very good judges out there I'm afraid— Micky Hazard (@1MickyHazard) April 13, 2016
Hazard tweeted: "Very suprised [sic] no Moussa [sic], Toby or Dele in PFA awards list. They have been amazing this season, some not very good judges out there I'm afraid."
Alderweireld and Dembele have been two of Tottenham's most consistent stars this season, with the two players having made 76 appearances between them in all competitions for the club and the former playing in every single Premier League match.
Though Kane and Alli have been the headline stars, Alderweireld's consistency in defence has been a major factor in the club conceding just 25 goals in 33 league games, five fewer than any other side.
Meanwhile, Dembele has been an engine in the Spurs midfield alongside Alli, and had the shortlist been longer than six, both players may have felt hard done by not to be included.