"Half my team have Covid and it's been impossible to finish the show," she said, adding that "delivery delays" had also played havoc with her plans.
She was due to play the first of 24 planned shows at the Caesars Palace's Colosseum on Friday, 21 January.
Announced late in November, the Weekends With Adele series was scheduled to have the singer performing two shows every weekend until April.
Tickets ranged from $85 (£60) to $685 (£500), and Adele was forecast to make more than £500,000 per show.
