Abstract: The phenomenon of turning conventional banks to Islamic banking has been accompanied by the phenomenon of the spread of Islamic banks in the second half of 20th century. Studies in this area are infrequent in Libya because of the absence of Islamic banks. Some conventional banks in Libya have recently started to transform into Islamic. From here the view of the researcher doing the study to help these banks to identify the measures are necessary to turn to Islamic banks and thus enter the Islamic banks to the Libyan arena to contribute to raising the level of dealing with banks, many of the Libyans do not prefer to deal with conventional banks, considering that Libyan society is an Islamic society. Islamic banking services include whether conventional banks close branches for Islamic finance and conventional banks to become Islamic. Libya is trying to impose a particular authorization for Sharia based banks.