Esp
 

2007 hyundai santa fe 2.2
When i start to drive. The ESP off light comes on by it self. And stays on.
i tried when taking off straight and even taking of turing. .
any idee where to start looking for the problem

A good part of the time a wheel speed sensor is involved. A capable scan tool would tell you if and which sensor was involved.
Some low end scan tools may not provide that info.
Suggest a check by a capable service shop/facility to pin down just what is causing this.

ESP light
 

I did a check now.
if i start the car not moving and turn the steering to the right the ESP off light goes on. But when i turn to the left the light stays off.
And when i move in straight line the ESP off light goes on.

Based on that info, I would suggest looking at the Right Front wheel speed sensor wiring/connection. There is apparently an open in the circuit. The system sends a "bias Voltage" signal down to each sensor and if there is a problem detected or no return signal received, it will set a code and malfunction notice.

It could be a bad wheel bearing, depending on the mileage

Update on ESP.
I did a SAS reset and calibration. And after everything was back to normal.

Awesome!