The virus has been detected on one major ward, but test results from patients have come back as negative.
Naas Hospital says a Covid-19 outbreak has been confirmed on one ward, believed to be a 31 bed unit.
The ward is now closed to new admissions.
The hospital says as of last night, there are no confirmed cases there, and 8 suspected cases.
An Outbreak Control Team has been undertaking testing and contact tracing.
Swab results for patients have come back negative, while staff who are close contacts are self-isolating.
It's understood the source of the outbreak could be part of the cleaning team, who tested positive.
Testing at the facility has now been carried out after a risk assessment, according to the HSE.
Over 300 cases have been confirmed in Kildare in the past two weeks.
Wicklow Council Dealing With High Volume Of Rent Increase Queries
An Tóchar “Good Enough To Win” In Leinster, But Wary Of “Impressive” Wolfe Tones
Trio Of Wicklow Community Projects Officially Opened
Government's “Abysmal Housing Failures” Hitting Wicklow Families Says TD Brady
Gardaí Investigate Suspected Arson Attack On Cars Outside Arklow Family Home