The company have appointed agents CBRE and Savills to sell the approximately 6,800 sq ft (632 sq m) ground floor premises.
The Alexander Graham Bell was a long-standing stalwart of the George Street bar scene, alongside neighbours Brown’s and Tigerlily.
A spokesperson on behalf of the joint agents comments: “The Alexander Graham Bell represents an excellent opportunity to acquire sizeable, fully fitted premises with the benefit of a late license in one of central Edinburgh’s most prestigious locations.
“Given the scarcity of flagship licensed leisure opportunities in Scotland’s capital, we anticipate strong interest from a broad variety of different occupiers.”