Haaland followed his five-goal haul against RB Leipzig in the Champions League by claiming another three to take his tally for the season to 42.
The Norwegian is now just two short of the record jointly held by Ruud van Nistelrooy and Mohamed Salah for the most goals for an English top-flight club in all competitions in the Premier League era.
Julian Alvarez added two goals and substitute Cole Palmer also scored on a sobering night for former City skipper Vincent Kompany, whose Burnley side have surged 13 points clear at the top of the Championship.
Burnley did well in the first half but could not match Haaland’s staggering efficiency in front of goal.
City opened up in the second period though, underlining the chasm in class between England’s top two divisions.
It will be City’s sixth semi-final appearance in seven seasons under Pep Guardiola, and on this form few will argue against them lifting the trophy for only the second time in that period as they retain hopes of completing a Treble-winning campaign.
The draw for the FA Cup semi-finals takes place on Sunday following Brighton’s tie against Grimsby Town (14:15 GMT)
