Disclosed are a system and a method extensible for performing, in real-time, stereo snatching for calculating depth images with a result of searching for points of similarity by using images taken with two cameras. The system includes a coordinate creating module, a census transform module, a delay XOR calculation module, a stereo matching module, and a control module. Accordingly, by using the system extensible for performing stereo matching, depth information of corrected images can be acquired in real-time without using computer systems or software programs for special purposes. Furthermore, since the system extensible for performing stereo matching can be simply realized by hardware, the system and the method of the present invention can be easily applied to actual intellectual-type robots, industrial settings, etc.