A post shared on the OVO Hydro’s Facebook page, external, just hours before the gig said the singer needed a “few days of recovery” after having a minor surgical procedure on her leg.
The venue operator said rescheduled dates would be announced soon.
The American singer joined Fleetwood Mac in 1975, helping them become one of the most successful music acts of all time with more than120 million records sold.
Rumours, the band’s second album with Nicks, became one of the best-selling albums worldwide.
As a solo artist, Nicks has enjoyed success with albums such as Bella Donna which peaked at 11 in the UK albums charts and The Other Side of the Mirror which reached number three in 1989.
Last week, American singer Megan thee Stallion also cancelled her Glasgow gig that was set to take place on Saturday at short notice.
She said this was due to construction at the venue.
