A display apparatus and a control method thereof are provided. The inventive method and apparatus improves a response speed of a light source and image quality by minimizing a ripple of a current and reducing a time required to increase/decrease an amount of a current to drive a light source when a light source is turned on and off or a size of a current used to drive a light source is changed. An exemplary display apparatus includes a light source, a current generator which generates a driving current to drive the light source, a first current consumer which has a smaller resistance value than the light source, a first switch which is switched on and off to supply the driving current generated by the current generator either to the light source or to the first current consumer and a controller which controls the current generator to generate the driving current to reach a target value, and controls the first switch to supply the driving current to the first current consumer if the target value is smaller than the driving current.