The competition was scheduled for June 26 to July 7 in Chengdu, China.
The 2022 Asian Games in China are also being postponed because of concerns about the spreading omicron variant of COVID-19. The decision comes less than three months after the country hosted the Winter Olympics and Paralympics.
The World University Games were scheduled for last year but were postponed until 2022.
The Switzerland-based International University Sports Federation, which runs the games, said they would be rescheduled for 2023 but gave no date or details.