The German champions have embarked on a public pursuit of the England captain all summer.
Bayern submitted their third offer of the summer for the England captain on Friday and an apparent deadline of midnight was also set by the German club.
All weekend passed without any further development but Spurs have now responded on Monday and rejected Bayern’s latest bid, the PA news agency understands.
Tottenham chairman Daniel Levy was reported to have met with Bayern officials last week, but the clubs remain around £25million apart in their valuation.
Friday’s bid was expected to be the final offer made by the Bundesliga champions and it remains to be seen whether or not they will continue their pursuit of Kane.
Kane has entered the final 12 months of his contract at Tottenham, but ignored the noise around his future to score four goals in a 5-1 friendly win over Shakhtar Donetsk on Sunday.