After scrum-half Will Genia's kick picked out Israel Folau for the game's opening try, Halfpenny got the Lions on the scoreboard with successful penalty.
North then stole the show with his exquisite try and you can read more on his exploits in this Test.
Folau's second made it 13-12 to The Lions at half-time but when Alex Cuthbert came off his right wing and was found by Jonathan Sexton's pass he dotted down to extend the visitors lead.
The Lions' second try made it 20-12 only for the Wallabies to mount a fierce comeback through Kurtley Beale.
And the Australian had a kick to win the first Test in time added on – only to slip on the turf.
An impressive midweek victory over the Melbourne Rebels maintained the Lions' momentum but in the second Test it was Halfpenny's last-gasp kick from halfway that failed to bisect the posts and Australia held on for a 16-15 win.