Emilio Diaz, 58, had been suffering from a flu, which turned in to pneumonia, according to TMZ.com, which first reported the news.
Diaz is currently filming the movie My Sister's Keeper.
Emilio Diaz had a small part in his daughter's hit 1998 comedy, There's Something About Mary.
Cameron Diaz, 35, also has a sister, Chimene, 37.
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