It comes four months after the company shut its sister Polpo site in the city.
He said: “It is with regret that we will be closing Bristol’s Spuntino on May 6.
“As a small business, we have taken the decision to focus our resources on our existing London and Brighton restaurants and to grow Spuntino with TRG in airports across the UK.
“We would like to take this opportunity to thank our customers and dedicated team who have supported us over the last year, we have felt privileged to be part of the exciting and dynamic food scene within Bristol.''
The Polpo group has also closed its eponymous site in Exeter and London gastropub Ape & Bird since the start of the year.
The original Spuntino, which means ‘snack’ in Italian, opened in Soho in 2011 and is still trading.
In a statement in January Macdonald denied the closures were related to “negative market forces” and said the Polpo group had enjoyed a “record-breaking final quarter of 2017”.
The team signed a franchise deal with TRG Concessions in February, and hopes to open its first airport Spuntino this year. The airside sites will offer the same New York-inspired small plates menu, but with more child-friendly and breakfast options.
Polpo still runs five sites in London and one in Brighton under its eponymous brand.