A flight attendant seated behind the cockpit reacted immediately, Ms Donoghue said.
"People were freaked out. The flight attendant was looking around like 'What the hell was that?' The woman attendant at the back said on the speakerphone that this does happen every now and again.
"They all did their very best to calm us all."
Ms Donoghue said the pilot then told passengers that no damage had been done.
"He explained that when lightning hits the plane it travels from impact point down to the back and that on the tail there are tips, they're designed to expel the electricity."
Air New Zealand confirmed the flight was hit by lightning on its descent into Auckland.
A spokeswoman said the aircraft would be inspected by engineers before being cleared to return to service.
Aviation commentator Peter Clark said lightning strikes were not infrequent, and aircraft were designed to dissipate the impact.
"Aircrafts have a conductive surface on top of carbon frame so the lightning can dissipate," he said.
"It's the peril of flying in the sky close to the weather. You don't hear about it so much in New Zealand but you do hear about it in the States, because the weather is charged."
"Normally it happens in descent because our planes fly above the weather mostly."