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Each player has a stash which allows storage of items not currently being used. The stash can be accessed in any town or hideout. By default, the stash has 4 "tabs", each consisting of a 12x12 area to store items.
A stash is shared by all characters on an account within the same league, thus allowing easy transfer of items between alternate characters. Other players cannot access items in your stash.
Additional stash tabs, as well as several specialised types of tabs, can be purchased through the mtx store. Any tabs bought in this way apply to every league, including future leagues, in both Path of Exile and Path of Exile 2.