A maintenance policy is proposed herein for a leased system under irregular inspection. Such policy is mainly to determine the maintenance action optimally at each inspection time and also to determine the next inspection time based on the current system conditions. Such policy holds by considering that: (1) multiple maintenance actions can be chosen at each inspection time; (2) each maintenance action taken is regarded as a ”minimal repair”, and (3) the times spent on inspection and maintenance action are ignored. A numerical example is presented to illustrate how such policy can be carried out for the leased photocopier system in practical. The results illustrate that the total cost and the total operating cost of the leased system under such policy can save 11.5% and 63.6% respectively.