why my arduino uno r3 restart when plugged in to a battery(9v)
Let me guess: the Arduino resets just as one of the motors starts (or should start) right? 

The 9v battery is incapable of supplying enough current for much of anything but a few LEDs. When the Arduino first turns on a motor, it needs, and tries to draw, more current than the battery can supply, resulting in the battery voltage dropping below the Arduino's voltage-regulator's minimum input voltage, and the Arduino is shut off. That stops the current draw, the battery voltage recovers, power up the Arduino, which resets (as they always do on power-up), and the cycle keeps repeating.

Try powering it from a more capable battery of greater than 7 volts. 5 AA cells in series, for example would provide 7.5 volts. This won't last terribly long but should work for a while. A second (third, ...) string of 5 in parallel with the first should double the life. Using C or D cells instead will increase the life a lot more.