My doctor removed my stitches a week after my upper eyelids surgery and he left a strip. Is that normal? (Photo)

Steri-Strips on upper eyelid incisions is not a normal practice. First of all, the Steri-Strips are much stiffer than the upper eyelid skin and will likely cause disruption of normal eye-opening. It is probably uncomfortable for you as well.  It will also be traumatic to remove because the upper eyelid skin is extremely thin and delicate in the first few weeks after the procedure.  Hopefully you won't pull your incisions apart when they are removed.  I am guessing that maybe one of your surgeon's inexperienced staff members might have put those strips on? 

You will need to contact you doctor and find out why the strips were placed over your incision.  I don't use steristrips on this area because of the need for movement of the upper eyelid and the quick healing of an eyelid incision makes this unnecessary in my opinion.