Lorde is seeking legal advice about whether to lay a police complaint about a photographer, Radio New Zealand reports.
She tweeted overnight that she is scared of Simon Runting, who she accuses of stalking and photographing her in Auckland.
Lorde, 17, said that while she understands the attention comes with the territory of being famous, she refuses to stay passive about men systematically subjecting her to extreme fear.
Runting is a freelance photographer, known for photographing Mike Hosking's children without consent.
Lorde's manager, Scott MacLachlan, said a complaint has not made to the police, but that is being discussed with a lawyer.
He said New Zealand represents home to the singer songwriter and if she doesn't feel safe, he fears she may move elsewhere.
Runting has not yet been available to comment.