Spurs booked a third successive year in the Champions League despite playing in their temporary home of Wembley and being outspent by their main rivals, and Pochettino said he would enjoy their success before plotting a league title challenge next season.
He said: "In the last three years we achieved the massive, massive thing to play Champions League but we never celebrate".
"In the second half, we conceded and it's always going to be hard, conceding away from home to Tottenham at Wembley".
However, Pochettino first says it is important that he and his squad celebrate their league placing - with Champions League qualification and the status of London's top club already both assured. Fifth is OK, but it's not enough.
The breakthrough for Spurs came just after the break, though, when Kane scored with a sidefooted shot into the top corner for his 28th league goal of the season after fine build-up play involving Dele Alli and South Korean Son.
Tottenham's final Premier League match of the season is at home to Leicester City this weekend.
"And this season, again, despite playing at Wembley and many things from the beginning, still (for) some the situation is that, 'Oh yes, but the team needs to win some titles'".
"Last season, we finished second, but it wasn't enough because we didn't win the league".
"I repeat, when we arrived here it was to be focused in trying to provide the team the discipline, the philosophy to create the platform to competitive and then work with all the resources the club provides for us and be focused on delivering the best job".
"I don't know, but today it is 100 per cent because I have a three-year contract here". Alderweireld's contract contains a one-year extension option, which activates in the summer of 2019 and would keep him at the club until 2020.
The 20-year-old central defender has made only a handful of appearances for the North London outfit this season, but none in the league. I think we're in a position, a club like Tottenham, where we maybe can not spend money like a few clubs.
Serge Aurier, Mousa Dembele, Eric Dier, Victor Wanyama and Kieran Trippier are all doubts for Sunday's match.
"We can be proud and we can congratulate all the staff and all the players".