OK - That is a small, dark, black and white picture, so may not be the best to show what you mean.
I can see some bright spots top right - They look very much like dust particles being illuminated by your flash.

Do these artifacts always appear in the same place or do they move around?
You need to be careful with flashes, especially around reflective surfaces etc. You could also be getting flare caused by light from the flash entering the lens at sharp angles in comparison to your subject. This is why you see lenses with hoods - the hood prevents sunlight for example entering the lens from a steep angle and being bounced around inside the barrel, upsetting the balance of light being reflected off your subject.

Try posting some more examples if you can. What camera/lens is it?

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