The management of the technology start-up company for development of software for mobile devices includes various activities such as creation of specification, development, implementation, sale, and maintenance of software for mobile devices, as well as services for it. Usually the main activity is the production and maintenance of software for mobile devices, but there may be different options and sub-options in the business model of the technology start-up, which are divided into two main categories - products and services. In recent years, there has been a trend to move into a business with service providers. The objective of our study is to outline some specifics about the operation of technology start-up companies for mobile software development in areas such as the management of human and financial resources, choosing the suitable methodology for software development and business model to follow.