No, his father was Vasili III
Ivan III is the son of Ivan the VI. ((go to Wikipedia.com for more information))
Ivan IV, the Terrible, was the grandson of Ivan III, the Great.
Ivan IV was called Ivan the terrible cause his temper grew as he got older. Ivan also killed a lot of rich people including his eldest son.
Ivan IV, the Terrible was the prince of russia during (1547-1584)
Ivan the Great was a Grand Prince of Moscow.