The decision follows a critical report last year by Unesco, the body responsible for awarding world heritage status.
Unesco's report was prompted by concerns over controversial proposals for a mixed-use development in the city's Old Town, known as Caltongate (Regen.net, 7 July 2008), and called for major changes to be made to the stalled scheme.
The successful candidate will be responsible for co-ordinating and managing world heritage site issues across the council as well as promoting the benefits of world heritage status.
They will also liaise with partner heritage bodies, including Historic Scotland, and advise the council's planning department.
Planning convenor, Jim Lowrie, said: "Edinburgh's world heritage site status is extremely important to the city. The postholder will work with developers to ensure that the outstanding universal value of the world heritage site is reflected in new development proposals."
Edinburgh was designated world heritage status in 1995.