Representatives of THST met with Spurs officials on Friday to express concerns of their members.
THST have also released a statement, taking aim not only at the board, but also at the players for confronting unhappy fans. They also referred to comments made by manager Thomas Frank warning about the status of the club at the start of the season.
"(He reminded) supporters that the club finished 17th in the Premier League last season, that the club is only participating in the Champions League through winning the Europa League, and that Bournemouth (a side without a win in 11 games) are 'always a difficult team' and that he is 'not enjoying the job'," read the statement.
THST accused players of "directly confronting" fans who were "exercising their right to express themselves", and referred to the "embarrassment" of club captain Cristian Romero's social media activity.
"While these incidents may have explanations that we could understand and even sympathise with, they demonstrate a lack of understanding and a lack of care about the perception of the football club," said THST.
"We reiterated to the club that we believe the club leadership should address these issues publicly and through direct communication with fans.
"We stressed that fans need to hear directly from the club leadership the ambition for the football club for this season, for next season, and for the foreseeable future.
"That begins, but is certainly not restricted to, the coming transfer window, in which all the stops need to be pulled out in order to demonstrate that Tottenham Hotspur are a serious football club and that we really do want to 'win more, more often'."