Kane has not played for Spurs since injuring ligaments in his right ankle just over six weeks ago but he was seen taking part in full training, without any visible sign of discomfort.
The 23-year-old was rated as 50-50 by manager Mauricio Pochettino to feature against Bayer Leverkusen in the Champions League on Wednesday, four days before Tottenham take on Arsenal at the Emirates Stadium.
If Kane were to play in either fixture, he would also be in contention to be selected by Gareth Southgate for England fixtures later this month
England face Scotland in a World Cup qualifier at Wembley on November 11 before hosting a friendly against Spain on November 15.
Toby Alderweireld was also out training with Spurs on Tuesday but, unlike Kane, the defender was running on his own, separate from the rest of the group
Alderweireld has missed Tottenham's last four matches with a leg injury
Erik Lamela, who was ill and absent from the 1-1 draw against Leicester on Saturday, was back among the squad
Source : PA
Source: PA