Tottenham's efforts in their previous matches had been undermined by costly individual errors at the back, particularly in the 2-0 defeat at Chelsea.
Kane fared better from Moussa Sissoko's through ball in the 49th minute, sweeping his finish around Roman Bürki and becoming Spurs' all-time leading goalscorer in Europe with 24 in the process.
Hugo Lloris came to the fore, making four vital saves, in a testing spell just before the break.
Pochettino will surely focus his attentions on their European campaign now that their Premier League title tilt is all-but over.
MF Christian Eriksen, 8 - Had to defend for most of the game and did so willingly, making a good block on the edge of his box, while he made the most of a rare opportunity to create something at the other end when he played Son in on goal.
Chance! Julian Weigl's header is saved by Loris, the follow up is promptly blocked! . Just under ten minutes till football time!
"Dier has been a long time out, maybe he can be on the bench, I don't believe he can start, Harry Winks the same".
Dortmund have been widely lauded for their youth policy and vibrant football this season, but against Spurs their inexperience showed in both legs, even if their style caught the eye on occasion. No Pulisic in the starting lineup.
Penalty king Harry Kane nets Tottenham’s equaliser against Arsenal
"We were sitting and listening to the Champions League song and we were talking with Jesus (Perez, Pochettino's assistant) saying it will be awesome to be in the new stadium listening to that song before the game".
"It could have been a tough night tonight if we weren't careful".
Spurs have rocked up!
Asked whether they can go on to win the Champions League, Eriksen said: "We take one game at a time".
As one of few genuinely experienced campaigners in this Dortmund team, Reus was expected to lead the way.
"Our mentality is a Champions League mentality".
Former Germany captain Lothar Matthaus has conceded that Borussia Dortmund will need to play like a dream to progress in the Champions League against Tottenham Hotspur. Or will Spurs keep their advantage and make it to the last eight in the Champions League? "You are going to see tomorrow why I am not so happy with the people".
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