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You can use IntegerListsLex (see the documentation for all options):

sage: C = IntegerListsLex(6, length=4)

sage: C.list()
[[6, 0, 0, 0],
 [5, 1, 0, 0],
 [5, 0, 1, 0],
 [5, 0, 0, 1],
 [4, 2, 0, 0],
 [4, 1, 1, 0],
 [4, 1, 0, 1],
 [4, 0, 2, 0],
 [4, 0, 1, 1],
 [4, 0, 0, 2],
 [3, 3, 0, 0],
 [3, 2, 1, 0],
 [3, 2, 0, 1],
 [3, 1, 2, 0],
 [3, 1, 1, 1],
 [3, 1, 0, 2],
 [3, 0, 3, 0],
 [3, 0, 2, 1],
 [3, 0, 1, 2],
 [3, 0, 0, 3],
 [2, 4, 0, 0],
 [2, 3, 1, 0],
 [2, 3, 0, 1],
 [2, 2, 2, 0],
 [2, 2, 1, 1],
 [2, 2, 0, 2],
 [2, 1, 3, 0],
 [2, 1, 2, 1],
 [2, 1, 1, 2],
 [2, 1, 0, 3],
 [2, 0, 4, 0],
 [2, 0, 3, 1],
 [2, 0, 2, 2],
 [2, 0, 1, 3],
 [2, 0, 0, 4],
 [1, 5, 0, 0],
 [1, 4, 1, 0],
 [1, 4, 0, 1],
 [1, 3, 2, 0],
 [1, 3, 1, 1],
 [1, 3, 0, 2],
 [1, 2, 3, 0],
 [1, 2, 2, 1],
 [1, 2, 1, 2],
 [1, 2, 0, 3],
 [1, 1, 4, 0],
 [1, 1, 3, 1],
 [1, 1, 2, 2],
 [1, 1, 1, 3],
 [1, 1, 0, 4],
 [1, 0, 5, 0],
 [1, 0, 4, 1],
 [1, 0, 3, 2],
 [1, 0, 2, 3],
 [1, 0, 1, 4],
 [1, 0, 0, 5],
 [0, 6, 0, 0],
 [0, 5, 1, 0],
 [0, 5, 0, 1],
 [0, 4, 2, 0],
 [0, 4, 1, 1],
 [0, 4, 0, 2],
 [0, 3, 3, 0],
 [0, 3, 2, 1],
 [0, 3, 1, 2],
 [0, 3, 0, 3],
 [0, 2, 4, 0],
 [0, 2, 3, 1],
 [0, 2, 2, 2],
 [0, 2, 1, 3],
 [0, 2, 0, 4],
 [0, 1, 5, 0],
 [0, 1, 4, 1],
 [0, 1, 3, 2],
 [0, 1, 2, 3],
 [0, 1, 1, 4],
 [0, 1, 0, 5],
 [0, 0, 6, 0],
 [0, 0, 5, 1],
 [0, 0, 4, 2],
 [0, 0, 3, 3],
 [0, 0, 2, 4],
 [0, 0, 1, 5],
 [0, 0, 0, 6]]