The sad news was confirmed in a post on Facebook on Wednesday night by The Dublin Legends, a band Campbell had been performing with since The Dubliners retired in 2012.
In a social media statement, his bandmates with The Dublin Legends wrote: "Eamonn was a true Legend and brilliant guitar player". He passed away peacefully surrounded by his wife and family. He also worked as a producer for Irish music acts such as Foster and Allen and Philomena Begley.
The 70-year-old died in a hospital in the Netherlands surrounded by his family.
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Gerry O'Connor, banjo and player, added: "I have not come to terms with it yet".
Funeral arrangements will be announced later. Always had a big smile on his face.
Paul Watchorn, singer, said, "We always had such a good time in Europe".
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He'd just finished a European tour with The Dublin Legends when he became unwell. That's what he loved most.
Frances Black was among the first to pay tribute to the musician, posting to Twitter that she was "so sad" to hear the news of his passing.
Mr Campbell, who was from Drogheda in the Republic of Ireland, joined some of the surviving members in forming The Dublin Legends.
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He is today being described as a great character and musician, whose suggestion to team up with the Pogues brought the band worldwide fame.