Vardy did pull one back for Leicester on 76 minutes to make it 100 goals in senior football, but Son scored a breakaway third in stoppage time to make the result safe.
The South Korean went down in the penalty area under a challenge from Harry Maguire, becoming the fourth Tottenham player to be yellow carded for simulation this season. It is so hard.
Pochettino added Spurs striker Harry Kane, who injured his ankle last month, was making progress but would not return in time for Sunday's game or the Champions League last-16 first leg against Borussia Dortmund on Wednesday. Everyone wants to talk about different clubs or players but do you think we're a team that's trying to cheat the referee?
"If we played with a poor performance, without the possibility to develop our players, perhaps other teams wouldn't be interested in our players", Puel said.
Spurs stay within five points of leaders Manchester City and you have to consider them to have a shout of a title shot, with 12 games still to play. For me, I'm going to stop describing the real situation, but I think there is no sense. "We are nice people".
Leicester missed the chance to equalise on the hour mark when substitute Jamie Vardy's penalty - his first touch after coming on - was pushed away by Hugo Lloris after Jan Vertonghen was adjudged to have fouled James Maddison in the box.
Leicester have lost four of their last five league games, increasing the pressure on under-fire boss Claude Puel.
"He was ready to come on the pitch and I gave him the opportunity to take the penalty", the Frenchman said. We didn't find the good finish. But we defended them well and when, in the 91st minute, Chilwell's cross was whacked clear by Sissoko, it put Son in the clear with just Schmeichel to beat and the striker made no mistake to wrap up the points. I said if he felt good he could take it. In some days it's hard to deal with Wembley but hopefully in this big game we'll receive this help from the crowd'.