In the present review paper, we are presenting comprehensive information about the advances and recent researches made in the field of inventory supply chain for deteriorating items. This paper studied some characteristics which are playing important role in management area of deteriorating inventory supply chains. We have categorize our reviewed papers according to the keywords like demand rate, deterioration rate, two warehouses dispatching policy, green supply chain, permissible delay in payments and some strategies like vendor managed inventory (VMI), Stackelberg Game, sale, discount, effects of dynamic pricing of deteriorating items on income and deterioration, unexpected deterioration identification etc. The research work which is tabulated in this paper offer clear information about the inventory supply chain of deteriorating items. We have also provided future research directions in this area.