1. A 3-dimensional (3D) image control apparatus comprising: a sensing unit to detect a user object to control a 3D image using one of a plurality of virtual tools; a processor to determine a target virtual tool based on detection of 3D spatial coordinates of the user object and to determine a peripheral space adjoining the 3D image based on 3D spatial coordinates of the 3D image and the 3D spatial coordinates of the user object obtained by detecting the user object; and a displaying unit to display the target virtual tool in the determined peripheral space adjoining the 3D image, along with the 3D image, wherein the processor is further configured to determine a gesture of the user object based on the 3D spatial coordinates of the user object and a shape of the user object, to determine a virtual tool matching the gesture of the user object among the plurality of virtual tools, and to determine the determined virtual tool as the target virtual tool.