you can buy a camera with an anti red eye feature which basically just pre flashes two or 3 times, closing the pupil then taking the photograph before it opens again.
or take the photograph in daylight when the flash is not needed. you can also reduce red eye by using a flash that is further away from the lens (ie a flash gun)
Hi Bob906, I have lots of photos with red eyes - but they were not taken with a digital camera. Its caused when the flash is too close to the lens. Most digital cameras have a facility to reduce the red eye effect. You can normally edit photos to remove 'red eye' if you can upload them and by using a product such as 'Photoshop' or 'Irfanview'.