West Preston Street and Salisbury Place are both currently closed.
Police issued a warning on social media, and asked drivers to take alternative routes.
Scottish Fire and Rescue Service confirmed that they are dealing with a loose drain pipe at the scene
A spokesperson said: "We are currently in attendance at an address on Causewayside, Edinburgh, after a drain pipe came loose, and was hanging over the pavement.
"Crews are currently assisting to make the area safe once more, with the call coming in at 12:37 and one appliance, as well as a height appliance being deployed."