Well, yes, high eye pressure will lead to headaches. Generally speaking, if you have eye pressure in your eyes, it is easy for you to have eye strains. For example, you watch computer for a long time and do not have good rest. That can cause high eye pressure and then the eye strain will occur. In that way, some long term effects of eye strains happen, such as headache. Generally speaking, it can put stress on the eye muscles and the facial and scalp muscles, causing pain and headache. In some worse cases, it will make your vision worse. Anyway, just pay more attention to your eyes. You should control the time you use your eyes. And so the eye pressure can decrease, and you will not feel headache. Also, just have a good rest is effective.