Online shopping and banking institutes are a current trend in e-commerce, where online shopping and banking are frequently used over the Internet. With the fast growth of the technology and on-line practices, criminal activities also have grown dramatically. Customer trust in the security of online activities is extremely immportant for successful trading. Both buyers and sellers are vulnerable to online risks. With the current focus being on precautions that individual buyers and sellers should consider protecting themselves from criminal activities online, the issue of what e-commerce websites should do to minimize their customer's risk is apparently a neglected area in current literature. This research analyses deficiencies in online shopping and online banking websites, and identifies suitable procedures that e-commerce operators may apply to minimize the risk of criminal activities.