Spurs manager Mauricio Pochettino, who turned 46 on Friday, had asked his players to give him a performance and result worth celebrating and they convincingly delivered through two goals from the in-form Son.
Llorente suddenly exploded into life during Wednesday's 6-1 FA Cup victory over Rochdale, scoring three goals in the space of 12 minutes.
Spurs hold the upper hand on the Italian champions, who have reached the final in two of the past three seasons, after battling back from 2-0 down in Turin in the first leg to salvage a 2-2 draw.
Spurs, whose Argentine manager Mauricio Pochettino became the first non-European coach to win 100 Premier League games, moved up to third on 58 points from 29 games, a point ahead of Liverpool who were playing Newcastle United later on Saturday.
And that trio should have put Spurs out of sight of a limited Huddersfield in the first 45 minutes.
Lossl denied the hard-working Kane again shortly before the break as Tottenham continued to dominate but he could do nothing to stop Son's second goal in the 54th minute.
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"I think Son is one of the players that you always expect awesome things (from)", said Spurs manager Mauricio Pochettino.
Alli's fine pass split the Huddersfield defence wide open and Son took his time to round Lossl before slotting into an empty net.
Both are at home though, and Wagner explained that the feeling is excitement, stating: "So excited to have two home games".
Kane may have failed to score for a sixth straight game, but the England striker deserved most of the credit for Son's second, though, as his wonderful cross picked out his teammate perfectly.
David Wagner's side looked resigned to their defeat and Spurs took the chance to rest some key players before Juve's visit on Wednesday evening (Thursday morning AEDT), with Son departing to a standing ovation from the home crowd.
Kane had a late header disallowed for offside after the impressive Christian Eriksen found him with a corner.