It is easy to tell. Red veins in eyes are generally the blood in vessels. For some reason, the vessels are burst and blood cumulates on conjunctiva so that there are red veins. The reason of vessels burst is various. It may be the cold weather, external pressure and so on. Red veins exist often and is easy to be cured. Pink eye is a kind of serious disease which is more terrible than red veins. It is aroused by bacteria and is a type of inflammation of eyes. It is also much more uncomfortable to people. When you get red veins, you will feel nothing but a little bit swelling. However, if you get pink eyes, you will feel hurt, burning, itch and fuzzy. Some people even feel headache. Thus, you can easily tell that which one is pink eye and which one are just red veins.