The poems listed here are from various writings of Tolkien.  Although the majority can be found in The Hobbit or LotR, some come from The Tolkien Reader.  Of course, I do plan on adding more in the future.   Note that not all the poems in Tolkien's writings have names.  I have given names to those that were without so as to make a distinction of it.

The Lord of the Rings

Three Rings for the Elven -kings under the sky,
Seven for the Dwarf-lords in their halls of stone,
Nine for the Mortal Men doomed to die,
One for the Dark Lord on his dark throne.
In the Land of Mordor where the Shadows lie.
One Ring to rule tham all, One Ring to find them,
One Ring to bring them all and in the darkness bind them.
In the Land of Mordor where the Shadows lie.