Patients across the county have been urged not to contact GP practices except for 'essential and urgent appointments' and routine planned operations at hospitals in the area have been cancelled.
Power cuts have also forced patients needing MRI or CT scans to be diverted elsewhere in the north east of England.
The Eden Medical Group in Carlisle was closed on Tuesday after a power cut, with staff forced to move to a neighbouring practice, but was hoping to reopen on Wednesday.
GP emergency care
The Glenridding Health Centre remained open, but with supplies brought to the practice by boat, and a doctor brought in by mountain rescue services, according to a statement from the Cumbria Partnership NHS Foundation Trust.
GPs were widely praised for their response during severe floods in 2009 - described at the time as a 'once in a millenium' event. Plans put together to tackle swine flu were credited with improving the profession's preparedness to deal with emergencies.
Four pharmacies across the region have also been forced to close, the foundation trust statement said, with replacement services provided from neighbouring areas.