The invention relates to a building block system having modules that can be plugged together, wherein electronic and mechanical components required for motion and control are provided in the modules. The object of the invention is to provide a building block system, which facilitates constructing mobile models from simple building blocks. According to the invention, the object is achieved by a building block system having movable modules, wherein the building block system includes at least one energy module, at least one control module having a micro-controller, at least one movement module having an integrated servo motor, and a plurality of connection modules that can be randomly connected with each other, wherein the modules are connectable through plug connections enabling current flow between adjacent modules.