Stena Drilling says four anchors detached from Stena Spey which is 146 miles east of Aberdeen.
Helicopters have been sent to assist a North Sea drilling platform which lost anchors during Storm Babet.
Stena Drilling said four of the eight anchors detached themselves from Stena Spey due to the “severe weather”.
All 89 personnel are accounted for on the rig, which is 146 miles (235km) east of Aberdeen.
A HM Coastguard spokesperson said it had sent two of its helicopters to assist the platform facing strong waves in the North Sea.
A response number has been set up for concerned relatives on 01224 455199.
Stena Drilling said the incident involving its semi-sub drilling started at about 06:45.
“All support services are being co-ordinated through the shore-based incident response team and every possible effort is being made to safeguard risk to personnel at the scene and resolve the situation,” a company statement said.