This paper describes the CNC tool grinder SAACKE UW I D, develops a maintenance plan for this machine, and simulates the execution of maintenance tasks using the Fiix CMMS program. The aim is to demonstrate the advantages of using CMMS software in planning and managing maintenance tasks for machine tools. In the introductory section, CNC machines and their development are generally described, and their classification based on the type of machining is provided. The second chapter briefly reviews the company TM d.o.o., where the selected CNC machine is located. The third chapter examines several machines from the inventory of the mentioned company. In the fourth chapter, the CNC tool grinder SAACKE UW I D is described in detail. An overview of its technological specifications, machine construction, and operating principles is provided. The fifth chapter elaborates on the preventive maintenance plan for the SAACKE UW I D tool grinder. It outlines the necessary maintenance tasks for each component that requires regular upkeep. The sixth chapter discusses the simulation of maintenance execution in the Fiix CMMS program. The main functions of the Fiix program are described with examples.