Son went on to score the opening goal, running onto Dele Alli's through ball and beating Jonas Lossl, and he doubled his tally in the second half, heading home from Kane's cross.
The win will give Pochettino's side some added momentum before their Champions League tie against Juventus on Wednesday night and Tottenham fans were delighted with the performance from the attacker. "Three points today means we're in a very good position in the table", BBC Sport quotes Pochettino as saying.
"But of course, we are so happy with him and everyone".
"The manager has to choose 11 players but there are many more", said Son.
Son was in a class of his own all afternoon and it was little surprise he showed more poise than his teammates to finally open the scoring 27 minutes in.
Son had already appealed for a penalty, after being brought down by a clumsy challenge from Terence Kongolo, when Spurs responded to Ince's effort by nearly immediately scoring their second goal and securing all three points.
Both are at home though, and Wagner explained that the feeling is excitement, stating: "So excited to have two home games".
This was Tottenham's fourteenth home league match without defeat and Pochettino was quick to praise his side for the way they have turned Wembley into a fortress during this campaign: "I am so pleased".
And Wagner said: "The seconds before the second goal shows everything".
As you can see below, the Englishman latched onto a misplaced pass and seemed to be going nowhere before delivering a flawless long-range cross from which Son headed home.