The North London outfit failed to carry the momentum from Wednesday's victory over Borussia Dortmund in the Champions League into Saturday's clash against the Swans.
Despite creating goalscoring opportunities, Spurs failed to find the breakthrough and had to accept a goalless draw - their second stalemate in three Premier League fixtures.
"It's obviously disappointing, it's difficult when they drop off that deep, we didn't create too many chances but the keeper made a couple of vital saves at the right times and we just found it difficult," Kane told the club's official website. "It's a disappointing result for us but we just have to move on now and try to put it behind us.
"That's what's frustrating - I hit the bar, the keeper made a couple of good saves, we didn't have any clear-cut chances but we had some good chances that I'd say on another day would have gone in. That's football and it's part of the game. Obviously we're disappointed but there's nothing we can do now."
Tottenham currently reside fifth in the table, five points adrift of leaders Manchester City.