Is it normal for your eyes to bleed after a open Rhinoplasty?

This can sometimes happen if the tear ducts are blocked and backing up a bit due to swelling.Follow up with your surgeon to ensure all is okay. 

This is possible after rhinoplasty and more commonly is seen with nasal packing after surgery. The tear ducts drain fluid into the nasal cavity. This conduit can serve as a passage for the blood upward into the eyes. However, in some cases direct injury to the tear duct during osteotomy can cause bleeding into the eyes. You need to visit your surgeon for a close examination.

Depending on the techniques used and if there is packing in your nose, it is possible to experience some blood that travels up the tear duct. Consider starting saline drops to your eyes which can prevent some of the clotting of blood in the area of the tear ducts and contact your surgeon for an assessment of the next best step should this continue.