It was the first real book to be mass-produced using movable type printing techniques - and so could be made in a fraction of the time it had previously taken scribes to write by hand.
The copy was produced by the owners of Helix Binders Iain Kirkwood and Robert McKernan and will be unveiled by the library in the new year.
Mr Kirkwood said: "Because the original copies are thought to be amongst the most valuable books in the world they cannot be handled, so the library began a search to find a print and bind company who could help them produce a copy that would allow people to get up-close to the work.
"We've had excellent feedback from the library staff who are delighted with the replica which was sent to Manchester in November.
"To have played such a crucial role in creating a copy of the bible, thought to be the first major book printed in the west using mass produced moveable type, is a privilege."
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