Two residents of Trump Tower in Manhattan reported the thefts of jewelry encrusted with diamonds, emeralds and sapphires from their apartments in the building where President Trump also lives when in New York, the police said.

Investigators believe the jewelry, worth a total of about $353,000, was stolen from inside two apartments in the building where Mr. Trump has a penthouse triplex, and where the Trump Organization has offices, the police said.

A police spokesman said investigators on the major case squad have not identified a suspect and are scrutinizing everyone with access to the building. Neither police report indicated that there was forced entry, he said.

Reports of the thefts, first disclosed by The New York Post, come as Mr. Trump is expected to return to his namesake Fifth Avenue skyscraper on Sunday night for the United Nations General Assembly. He is scheduled to give a speech on Tuesday.