Any medium of exchange must also serve as a store of value. This just means that money should keep its value between the time that you receive it (in exchange for goods that you sell or work that you do) and you spend it again.
If an object lost all or most of its value over a short period, then it would not be acceptable in exchange. So something that serves as money must be a store of value. Imagine for a moment an economy in which ice played the role of money. Except on the coldest days, the ice you receive on payday would not last long enough for you to buy anything with it. It would be a terrible store of value and, as a result, would not do a good job of facilitating exchange.
Paper money and coins are not like ice. They are durable and do not dissolve with use. Because of this, you can be confident that the dollar you have in your pocket today will still be a dollar you can spend tomorrow. The fact that people are willing to hold money for long periods of time is indicative of the role of money as a store of value. If money were not a store of value, then all people would want to get rid of cash as soon as they received it. To mix our metaphors: if money were ice, it would become a hot potato.
Being a store of value is more than just a physical property of money. Currency in your pocket can remain there for a long periods of time before disintegrating. So, in a physical sense, that currency retains its worth. But, if prices are increasing, then in terms of what the currency can buy, the money in your pocket is not retaining its value. In times of inflation, money functions less well as a store of value.
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