The new Donkey Kong introduced in "Donkey Kong Country" was initially characterized as the grandson of the original Donkey Kong,
who appears in the game as an elderly ape named Cranky Kong
however Donkey Kong 64
states that the current Donkey Kong was actually meant to be Cranky Kong's son,
with one source implying that he is a grown-up version of Donkey Kong Jr.
However, in Super Smash Bros. Brawl
and Donkey Kong Country Returns
, the current Donkey Kong is referred to as Cranky's grandson.
The story designs of the present DK series, which began with Donkey Kong Country
, is clearly different, which Nintendo uses alteration of generations to explain.