The deal was reported by the property information service React News.
Crescent Link is one of the biggest retail developments in the North West and the new owner David Samuel Properties has paid a reported £30 million.
The development was being sold by Lotus Group, a business controlled by Northern Ireland developer Ciaran Murdock.
David Samuel Properties acts on behalf of a range of UK and Israeli-based high net worth individuals investing in European property and has recently bought a range of properties across the UK regions.
The £30 million price tag means it is the second biggest property deal in the North of Ireland this year.
In April, Citigroup bought its main Belfast premises from Titanic Quarter for £34m.