With explosive growth of e-Business on the Internet, and wireless networks, users face more and more challenging network-based application problems in terms of intelligent e-Applications. To increase the QoI (Quality of Intelligence) of e-Business, we propose a new research area called Computational Web Intelligence (CWI) based on both computational intelligence (CI) and Web technology (WT). Generally, the intelligent e-brainware using CWI techniques plays an important role in smart e-Business. Fundamental concepts, basic methods, major applications and future trends of CWI are described to briefly show a general framework of CWI from different aspects.