This thesis deals with implementation of another supplier to the Kanban system in the company Lexmark International s.r.o. The first part of the thesis is concerned with a theoretical finding from literature concerning inventory, types of supplies, level of inventory, calculation of supplies and, in addition, the Kanban and JIT system. The operative part is dedicated to analyses of the current status of the company using of the Porter´s, SWOT and SLEPTE analyses and, more over, the process of supplies by the method of PUSH and PULL – Kanban system in the company. The following chapter compiles the project on optimalization and decreasing of inventory by implementation of the Kanban system by Asian suppliers whose inventory coveres a substantial part of the company´s value. The objective of this thesis is to find whether the implementation of Kanban reduces level of inventory and whether their costs can be reduced in comparison with the last years and last but not least whether the implementation can be useful.