The object of this study is a multifunctional modular robot able to assemble independently in a given configuration and responsively change it in the process of operation depending on the current task. In this work we aim at developing and examining unified modules for a modular robot,which can both perform autonomous movement and form a complex structure by connecting to other modules. The existing solutions in the field of modular robotics were reviewed and classified by power supply, the ways of interconnection, the ways of movementand the possibility of independent movement of separate modules. Basing on the analysis of the shortcomings of existing analogues, we have developed a module of mobile autonomous reconfigurable system, including a base unit, a set of magneto-mechanical connectors and two motor wheels. The basic kinematic scheme of the modular robot, the features of a single module, as well as the modular structure formed by an array of similar modules were described. Two schemes for placing sets of magneto-mechanical connectors in the basic module have beenproposed. We described the principle of operation of a magneto-mechanical connector based on redirection of the magnetic flux of a permanent magnet. This solution simplifies the system for controlling a mechanism of connection with other modules, increases energy efficiency and a battery life of the module. Since the energy is required only at the moment of switching the operating modes of the connector, there is no need to power constantly the connector mechanism to maintain the coupling mode.