Rush Hall is home to up to 60 elderly men and women, many of whom are living with dementia and Alzheimer's.
In a statement, the care home and Four Seasons Health Care said senior managers are cooperating actively and fully with Western Health and Social Care Trust, the RQIA and PSNI in the investigation.
"A number of staff have been suspended pending the outcome of the investigation in line with our normal procedure and nothing more should be read into this," the statement said.
"The wellbeing of the people in our care is our first priority and we have an active whistle-blowing policy that encourages staff to report any concerns and we always work with the relevant authorities to ensure they are rigorously investigated.
"It would be inappropriate to comment further ahead of the outcome of the investigation," the statement concluded.
Relatives have told UTV they heard about the allegations through the local media.
DUP councillor Alan Robinson said it is unsettling for all involved.
He said: "I've no doubt people will be concerned. But I think the investigation and having that investigation teased out I think that will be the way in which to reassure those relatives."
Police confirmed they have received a report of alleged abuse at an independent care facility within the County Londonderry area.
"An investigation has been commenced and police will be speaking with anyone who can assist them with their inquiries to help bring those responsible to justice."