This study has focused on measuring the extent of customer satisfaction with the quality of banking services offered by Iraqi commercial banks (government and private in Baghdad). This study is divided into five axes each axis corresponds to each one of the research hypotheses. It has been applied a questionnaire consisting of (45) questions which included: questions from (1-15) concerning customers need for banking services; the questions from (1-16) which focused on the level of satisfaction achieved by costumers of government commercial banks; the questions from (30-45) which focused on the level of satisfaction achieved by government commercial banks. Those customers are generally satisfied with the services provided by government commercial banks where the overall satisfaction of customers is equal to (2.5210) and that the rate of overall satisfaction of private commercial banks customers is equal to (2.6456).Private commercial banks achieved more satisfaction to their customers, but with a little difference compared with government banks.