Do Buddhist believe fortune teller? As a Buddhist, I only believe Buddha ,Dhamma,Sangha. But some of my relatives still believe fortune teller. 
What should I do with people who try to read and tell my future.
You can't really say No to "Do Buddhist Believe in Fortune Tellers?" Because The Buddha himself had the ability to tell someone's fortune and future.He didn't do it for money of course.But he could tell what would happen to people. There were times where he knew that they had to listen to the Dhamma soon because their death was imminent.He could tell their fortune or misfortune.

In fact the past Buddha Kassapa was able to predict that the then Boddhisatta would one day become a Buddha.I know this all sounds like magic.But it all boils down to Karma. All Buddhas posses omniscient knowledge.They have the ability to discern someone's karma and the karmic tendency that will lead to the likelihood of one's karmic fruit ripening. 

The Buddha also had a disciple who was once a fortune teller called Venerable Vangisa.Now, You don't have to be a Buddha to be able to predict the future.It can come as a Siddhi in some yogic practices.But this is clouded by delusion because one doesn't see dependent origination in it.Not to mention the Ego is still very much in charge.

When people try to read or tell your fortune it may be skillfull to just politely decline.If you don't want to do that then just remember that no one can make or take your fortune except you.It all depends on you.When people read your future their reading what your own actions are producing, their not causing the future to happen to you.Your fortune depends on your own actions.