E-commerce has proliferated with the growth of Internet. In e-commerce a large variety of large models for selling goods online has emerged. E-business and its sub-category, e-commerce were forecast to facilitate communication between potential market participants and dissolve the geographical boundaries between markets. Maturity models for Information Systems and Information Technology appeared has more than thirty years. More recently, new maturity models have been created, better adapted to new reality of e-commerce/ebusiness. With this paper we intend to describe some models oriented to e-commerce/e-business and compare them, identifying imperfections in the models. The paper concludes, that is important identifying the barriers to the development of e-business, and as they can be contouring.