Yes, MRIs are safe. They use a large magnet–not radiation–to produce images, so there is no risk of radiation exposure.
With that in mind, the magnet used in MRIs can cause issues in those with certain medical devices or conditions. Patients with implanted pacemakers, cochlear implants, certain prosthetic devices, implanted infusion pumps, certain IUDs, iron-based metal implants, and other medical devices should not undergo MRIs. If you have any implanted device or metal in your body, please notify your physician during your initial visit.