An electronic device includes a first graphic composer that composes first graphic data associated with a layer of a first composition type, a second graphic composer that composes second graphic data associated with a layer of a second composition type different from the first composition type. The electronic device also includes a processor that sets a composition type of each of a plurality of layers associated with at least one application to the first or second composition type, composes first graphic data corresponding to a layer set to the first composition type using the first graphic composer, compose the composed graphic data in the frame buffer and second graphic data corresponding to a layer set to the second composition type using the second graphic composer, and display the composed graphic data through a display connected with the electronic device.