The Canadian singer, who rocketed to pop stardom with her hit "Call Me Maybe," contacted cops in March to report stolen items. According to gossip website TMZ, the files stolen included nude photos of the star.
"The Vancouver police are investigating the unauthorized use of a computer, theft of telecommunications and criminal harassment related to Ms. Jepsen," said Const. Lindsey Houghton.
"One suspect - an adult male - has been identified, but at this time he has not been arrested or charged, as the investigation continues."
It is not the first time this week Jepsen's naked body has been in the news. The 26-year-old responded to her more than 1.7 million Twitter followers about online reports that she had a sex tape.
She tweeted on July 23: "Crazy morning. Discovered that someone put up a sex tape claiming to be me. Ridiculous. Obviously not me."