The win restores Spurs' five point gap over Chelsea - their next opponents - while leaves Bournemouth still a victory away from expected safety.
It was Pochettino's 150th league win but it was a rare defeat for his counterpart Howe, whose side had been beaten just one in their past 10 league fixtures - only Tottenham lost fewer games in that period.
However, the loss of Kane to an ankle injury presents a major concern to Pochettino who will be anxious to learn the full extent of the forward's problem having twice lost the player to a similar injury last season.
Kane suffered two ankle injuries last season and missed 14 matches as a result - the last nearly 12 months ago to the day.
"We have to wait until tomorrow, after tomorrow we will see if he will be better and know what is happening".
Pochettino told Sky Sports: "It was the flawless answer after a massive disappointment against Juventus".
"Of course I worry about him, his ankle". "We hope it's not a massive issue for him and for the team and as soon as possible he can recover again and be available".
"After Wednesday, it was a massive challenge, the opponent is waiting for you, but the team showed great personality and character, and we fully deserved the victory".
England's opening game is against Tunisia in Volgograd on June 18th.
In the 35 minute, Tottenham did manage to level matters when Serge Aurier played Dele Alli in behind the defence and he duly slotted past the keeper, 1-1.
Pochettino added: "I don't believe that is a big issue for Alli".
" We have to wait for news on Harry".
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