Next in Kane's sights could be the record for most goals in a 38-game Premier League season - 31 - held by Shearer (1995-96), Ronaldo (2007-08) and Luis Suarez (2013-14).
2 - Kane is also the first player in Premier League history to score consecutive hat-tricks on two separate occasions (also May 2017).
"I am aware I've equalled Alan Shearer's record", Kane said.
"I think today, (number) one striker in the world, specific position, who's better than him?"
The feat is even more remarkable given that Kane failed to find the back of the net in the month of August, with the England worldwide leading the scoring charts with 18 top-flight goals this season. "I feel sharp, I feel at my best".
"It makes him play better".
Any glimpse of optimism from Southampton were all but instantaneously extinguished as Kane completed his second hat-trick in three days, Alli released the striker through on goal with Forster quick off his line and just coolly lofted over his compatriot to complete his eighth trio of the calender year.
The England forward is level with Bayern Munich's Polish forward Robert Lewandowski, Real Madrid's Cristiano Ronaldo and Paris St Germain's Edinson Cavani.Unlike any of his rivals for the record, however, Kane still has a game left to play this year - a home game against Southampton on December 26.
"I said to the lads before the game to try and set me up and they all did that so I'll have to take them out to dinner or something".
Kane scored 21 times in the second half of last term from the beginning of the year, including hat-tricks against West Brom, Stoke and Hull, with four in one game coming against Leicester City. "Well done and keep up the good work", the former England and Newcastle United great wrote on Twitter.
"And we are all so, so, so, so happy because it's an fantastic thing to celebrate".
A boyhood Spurs fan, Kane has previously made it clear he'd want to see out the remainder of his playing career with the Lillywhites, but that of course is easier said than done.
"It's an unbelievable story for us, as a coaching staff, when you look at him play - not only feel happy [but] so proud of all this he has achieved", said Pochettino, who added that Tuesday match was so open it could have finished 7-4 to Spurs.