Albert Hymas Limited sold the property on the Grove,off Harcourt Road, for more than £3 million to Springfield Healthcare.
The sale marks the end of an era for the Harrogate-based company, who have owned the site since 1904.
Richard Hymas, Director at Albert Hymas, said: “The site will house a significant healthcare development which will really benefit the local community. We chose to draw upon the expertise of Shulmans LLP as a leading real estate firm. The team has been incredibly proactive in providing invaluable advice and guidance to enable us to realise our asset.”