This article deals with the issue of parking houses, storage mechanisms and how to control them. A laboratory model of a multi-storey underground automatic parking house was designed and created for this purpose, which is used to test a new innovative way of storing cars and specialized approaches to driving actuators. The model is based on an aluminum profile frame to which a newly made linear two-stage dual-sided telescopic mechanism and a two-axis positioning mechanism is attached. The emphasis is placed on the smooth movement of all axes which limits shocks caused by mechanism speed change while moving to a defined position.