Chairman Tony Bloom agreed the new deal as Barber moved into his second decade in the role.
It will make him the third longest-serving executive in a such a role within the Premier League.
Susan Whelan has been in similar position at Leicester City since 2010.
Daniel Levy at Tottenham is way out in front in terms of longevity having been at the helm since 2001.
But his role is slightly different as executive chairman rather than CEO.
Source: Tribalfootball
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