That is just a block, you can`t hatch it YET.
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It is not yet possible to hatch the dragon egg in Minecraft, the egg is like a trophy to recognise that you have slain the Ender Dragon. Happy Minecrafting!
The ender dragon drops it when defeated
kill the ender dragon
Currently in the Vanilla release, dragon eggs do nothing, and are primarily used as an ornament.
you cant yet the egg is just for decoration right now