Spurs were the better team for long periods of Saturday's FA Cup semi-final against Chelsea yet still lost 4-2.
Though Tottenham's record on their own ground is outstanding, it is a different story elsewhere - particularly against the strongest teams in England.
Since Mauricio Pochettino took charge in May 2014, Spurs have recorded only one win away from home against this season's top six - the 2-1 victory at Manchester City in February 2016.
Kane said: "We need to find a way to win these sorts of games. When we dominated large spells, Chelsea found a way to win and it was similar in the Capital One Cup final two years ago (when Chelsea beat Spurs 2-0).
"We've played well against them this season but they've won two of the three games and we won the other. That is what is disappointing.
"It's hard to take and we can't really put our finger on why. A bit of luck, a bit of momentum swung their way and it was hard to come back from that.
"I thought we deserved to win but the big moments in the game didn't go our way. We conceded from three set-pieces and the fourth goal [from Nemanja Matic] was a wonder strike. It's difficult to take."
Tottenham have little time to dwell on their disappointment. On Wednesday they travel to Crystal Palace, seeking to maintain pressure on Premier League leaders Chelsea, who have a four-point advantage at the top of the table.
Chelsea face Southampton 24 hours earlier, meaning the gap may be seven points when Spurs kick off.
Kane added: "Of course we wanted to win and keep our momentum going from the league but it didn't happen.
"There's nothing we can do now. We can't control what Chelsea do. If the semi-final result gives them more momentum, then it does.
"We've just got to concentrate on our game. We've got six very difficult games home and away so we'll do everything we can to get as high up the league as we can."