The US artist was performing her hit "Judas" at Auckland's Vector Arena on Sunday night when the accident left her seeing stars, 3News reported.
Footage of the incident showed her staggering briefly after the pole crashed on the top of her head then regathering herself and continuing the concert.
"I wanna apologise if I'm rambling tonight, but not sure if you noticed, I hit my head earlier and I think I may have a concussion," she later told fans, TVNZ reported.
"Don't worry though, I'm gonna finish the show."
The singer's make-up artist Tara Savelo took to Twitter after the show to assure fans that the star was in good shape.
"Gaga has a concussion but she is going to be okay," Savelo tweeted. "She wants u to know she loves u. I'm taking care of her. Can't believe she finished the show."
Lady Gaga will open the Australian leg of her "Born This Way" tour in Brisbane on Wednesday. She had to cancel her Indonesian shows in the face of threats from Muslim hardliners.
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The energy with which she performs, I am sure it must have been a hard hit. Good to see her determination. I admire her dedication to her work.