Two copies of the document seen as a precursor for modern constitutions and human rights laws come from the library's archive and the others are held in Lincoln Cathedral and Salisbury Cathedral.
The jealously-guarded parchments will only be in the one place for public viewing on a single day, February 3, before the biggest-ever exhibition about the document and its interpretation through the centuries opens at the library in March.
The Magna Carta was issued by King John of England to resolve a political crisis with rebel barons by agreeing to curbs on his powers such as agreeing that the king should be subject to the law and granting all "free men" the right to a fair trial.
It was originally a verbal agreement by the king that was transcribed and distributed across the kingdom.