He scored his 98th goal in the 59th minute to leave behind Teddy Sheringham's previous club record of 97 strikes.
Mauricio Pochettino's men will certainly look to repeat the same kind of performance they put in against Everton earlier in the season at Goodison Park.
Mauricio Pochettino's men are in need of all three points as they look to keep pace in the race for the top four while Sam Allardyce's side can not afford to get complacent at the other end of the league despite a positive recent run of form.
Son fooled Everton defender Jonjoe Kenney with a brilliant turn on half way and he dribbled into the box to set up Harry Kane for Spurs' 2-0 lead.
Tottenham Hotspur'sSon Heung-Min celebrates scoring his side's first goal of the game during the English Premier League soccer match at Wembley Stadium, London, Saturday Jan. 13, 2018.
Christian Eriksen capped off a fine team move late on to wrap up victory, which saw fifth-placed Spurs go level on 44 points with Liverpool in fourth. The goal was rightfully ruled out for offside.
In this photo taken by the EPA, Tottenham Hotspur's Son Heung-min (L) celebrates after scoring a goal against Everton during the English Premier League match between Tottenham Hotspur and Everton at Wembley Stadium in London on January 13, 2018.
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Henry did it five times while Shearer scored over 20 goals in 4 straight Premier League campaigns.
"Maybe I have a bit of responsibility by playing too much attacking-minded players and not as many defending-minded players".
Everton responded with a chance of their own as Wayne Rooney dragged his left-footed effort wide from Cenk Tosun's long ball. All that we showed today, we must [show] in every game we play, every week.
Spurs should be good enough to secure a comfortable win here, and given Everton's struggles in front of goal, I can't see them getting past Hugo Lloris.
Chelsea was unable to pierce Leicester's defence even after visiting left-back Ben Chilwell was sent off for a second bookable offense midway through the second half.
Son then played in Dele Alli, who failed to find the finish as he shot into the side netting, before Pickford was forced into action once more by a fierce low drive from Kane.
Allardyce suggested after the match that lessons had not been learnt from Everton's 2-1 FA Cup defeat by Liverpool last week, a game that was settled by Virgil van Dijk's late header.