Kane was due to return for Covid testing and the start of pre-season after an extended break following the European Championship but chose not to show on Monday morning, as he stepped up his efforts to force through a transfer to Manchester City.
Spurs are disappointed by his decision and in the circumstances the club have no choice but to hit their vice-captain with a substantial fine for breach of contract.
The final penalty is likely to be dependent on how the situation unravels, with it unclear when or whether Kane will agree to return to the club in the foreseeable future.
Kane is not thought to have communicated the reasons for his no-show to Spurs on Monday but the 28-year-old is desperate to join City this summer.
The Premier League champions have indicated that they would be willing to pay £100million, plus players in part-exchange, for the England captain.
Spurs are thought to value Kane at closer to £150m and have insisted they do not want to sell their talisman, who has three years remaining on his contract.
Kane has grown frustrated at Tottenham’s failure to win silverware and believes he has a gentleman’s agreement with chairman Daniel Levy to allow him to leave the club this summer.
Levy does not want to sell Kane to a Premier League rival but City have emerged as the clear front-runners for the forward, who wants to stay in England.
City are also pursuing a £100m deal for his England team-mate Jack Grealish of Aston Villa.
In June, Levy warned that he will “do whatever is right for the club” when it comes to deciding Kane’s future but the forward has insisted he will be the master of his own fate.
Kane told Gary Neville on The Overlap podcast in May: “I’m sure that [Levy] will want to set out the plan of where he sees it but ultimately it’s going to be down to me and how I feel and what’s going to be the best for me and my career this moment in time.”