Can you spread herpes to the eye by touching genital herpes sore?

Yes. Herpes is often spread by touch. So never touch your eye if you have an active herpetic lesion. Hopefully you are on treatment for this. If not, see your doctor.
Yes. Herpes can spread from an infected person or from yourself to your eye if you inoculate yourself. That's also how it's spread during intercouse. Please take precautions. Ocular herpes infection can be very serious and requires treatment. If you are concerned, see an eye md.

Related Questions

What happens when you pop a genital herpes sore?

Viral spread. The ulcer/sore contain a fluid that has the virus in it. If anyone comes in contact with the fluid, they can contract the virus. Additionally the fluid touching other areas of your skin can cause local spreading. Remember though, the time that the virus is most readily spread is just before he ulcers appear and you may only feel tingling or nothing at all. Read more...

Dose the sore a cause genital herpes and behçet's disease look like the same? Can the doctor diagnose them by eye?

Bechets. Is a vasculitis that usually also involve oral mucosa. A careful history and direct observation may aid in distinguishing, although they can look similar sometimes. Read more...
Yes. The lesions of both conditions can look similar. Herpes is by far the most likely of the two. A dermatologist can help determine if behcet's is possible. So the answer to your last question is both yes and no. Behcet's is uncommon and can be a little more difficult to diagnose if your doctor has never seen it before. Read more...