Depends where you're bringing him from, ie, don't think there are restrictions from, say Marmaris(!!) ....but if you're talking about bringing a dog into Turkey, I found this info on another website:
"a veterinary health certificate must be issued not more than 10 days before departure. Dogs should be vaccinated against rabies, distemper, hepatitis and leptospiroz.
All vaccinations should not be more than 6 months and not less than 15 days before the travel.
These requirements do not need to be lmotarized by either Foreign and Commonwealth Office Legalisation Department or Turkish Consulate General if you are accompanying your pet.
Rules and regulations are always subject to change. "
Hope this helps