In the 21(st) century of knowledge economy, the development of enterprises has shifted from a resources-oriented one to a market-oriented one, and also, enterprises have entered into a new phase of international competition. As for enterprises, core competence is represented. It expresses not only by its own advantage of inner resources, but also, and even more, by the recombination of its inner and outer resources, or say a strategic alliance with core enterprises play the leading role. Electronic-business as a new type of business mode, plays an important role in the transformation of the core competence of the enterprises. This paper, form the perspective of supplying chain management, is to study the core competence of enterprises in electronic business mode with the aid of the BCG's Growth-Share Matrix.