Topamax is not a pain reliever so you would not get rebound headaches from it. Topamax is anti epileptic medicine which is also used for migraine prevention. Topamax is an anti-seizure medication making it a head med. All head meds can cause headaches, dizziness and a myriad of other unpleasant side effects. You didn't say why you were taking it, but I guarantee you there is another med that will work as well, if not better. Continued What Is the Treatment for Rebound Headaches? Usually, headaches will get easier to control when you stop taking the medicine or gradually take lower doses. Medication overuse headache (MOH), also known as rebound headache usually occurs when analgesics are taken frequently to relieve headaches. Rebound headaches frequently occur daily, can be very painful and are a common cause of chronic daily headache. Headaches (Migraines): A lot of people take Topamax to help with cluster headaches and migraines. Don’t be surprised if you experience rebound headaches when you discontinue the medication. Additionally even if you didn’t have migraines prior to taking the drug, you may end up dealing with headaches for a few days as you withdraw from the drug. Topamax for chronic daily headaches. Common Questions and Answers about Topamax for chronic daily headaches. topamax. I have had chronic daily headaches for the last year now. Since right after the birth of my last child. I have tried all kinds of different meds from daily meds to preventatives. I do not think that they are migraines since they do not come with anyother symptoms, but I am not. Rebound headaches are caused by taking pain medicines too frequently over a prolonged period of time. Prednisone tapers may give temporary relief, but they don’t address the source of the problem. Has anyone experienced any type of worsening of headaches when going off Topamax? My son titrated down and just finished with the 25 mg daily. Warnings about Topamax (topiramate) Topiramate (Topamax) increases the risk of birth defects, such as cleft lip and palate, warned the Food and Drug Administration (FDA). Topiramate is an epilepsy drug which is also approved for the preventive treatment of migraine headaches. Hello Hello~Kitty :P. As with most migraine medications, topamax can give you headaches. I'm not sure if it's because it dulls the migraine so much that it just feels like a normal headache, or if the medication actually causes headaches.