A capacitor element includes a lower electrode, a ferroelectric film, and an
upper
electrode that are formed on a substrate. In the capacitor element, the ferroelectric
film is formed by a reaction rate-determining method, and the lower electrode has
a thickness of not more than 100 nm, and variation of the thickness of not more
than 10%. With this, a capacitor element in which the composition variation of
the ferroelectric film is suppressed, and a method for producing the same, are provided.