It ended up being two points dropped in Tottenham's unlikely title challenge as table topping Leicester City won 1-0 against Southampton the next day to stretch their lead to seven points with six to play.
But that could not take away from Kane's fantastic achievement and he came in for high praise from Shearer, who knows a thing or two about scoring goals at the top level.
'It's no coincidence he keeps finding the bottom of the net'
The Newcastle legend, who remains the record ever Premier League goalscorer with 260 strikes, told BBC's Match of the Day Kane is now the main man for club and country.
"The first half I just thought he was feeling the effects of international football because he was a little bit slower than he normally is," Shearer said on MOTD.
"He had one or two chances, was a bit slow and doesn't really have a shot or put in a cross on a couple of occasions.
"But (in the second half) a big feature of Tottenham's game is this diagonal ball from Toby Alderweireld into Erikssen and the rest from Kane is just world class.
"It's just brilliant the way he touches it, the technique, touch with his left foot and it's not coincidence that he continues to find the bottom of the net.
"It's just a world class finish it is.
"Two or three months ago with Harry Kane the question was 'Will he start for England?' well he will start for England the question now is will he start on his own or will someone be alongside him.
He has some way to go to beat the man who scored more than any other in a single top flight season for Spurs, though.
Clive Allen hit an astonishing 33 league goals for the North Londoners back in 1986/7, five years before the inauguration of the Premier League.