Well, yes, strabismus can cause headache. As we know that strabismus are the medical terms for eye conditions commonly called eye turns, crossed eyes. Also, it can lead to eyestrain, blurry vision, double vision, and headaches. Generally speaking, strabismus can correct by itself. But on the other hand, you can have surgery to correct it. And also patches and corrective glasses will be effective. You should know that strabismus is typically caused by injury to the eye orbit. And at the same time, injuries to the brain, such as with a stroke or head injury can lead to strabismus too. Also, there are also some other factors, such as sickness or stress. Anyway, just be careful about it.